GEORGE ANDROULAKIS

CURRICULUM VITAE

 

ACADEMIC CAREER

Professor	University of South Carolina	2021-present
Visitor	Georgia Tech	2008-2009
	Visiting: Prof. Jean Bellissard
Associate Professor	University of South Carolina	2006-2020
Assistant Professor	University of South Carolina	2000-2005
Visiting Assistant Professor	Texas A & M University	1998-2000
Postdoctoral Fellow	University of Missouri at Columbia	1996-1998

EDUCATION

Ph.D. in Mathematics	University of Texas, Austin	1990-1996
Thesis Advisor: H.P. Rosenthal
B.S. in Mathematics	University of Crete, Greece	1985-1989

MEMBERSHIP

Association of Quantum Probability and Infinite Dimensional Analysis aaaaaa 2023-present

International Association of Mathematical Physics aaaaaaaaaaaaaaaaaaaaaaaa 2024-present

 

RESEARCH

 

EDITORIAL WORK

Editor for the Annals of Functional Analysis 2010-2023.
Associate Editor for Quanta 2021-present

PUBLICATIONS

Accepted

• G. Androulakis, M. Ziemke, Functional analysis with step-by-step exercises, a textbook for a two-semester graduate course in functional analysis. Accepted for publication by World Scientific.

Appeared

• G. Androulakis, W. Rabins, Optimal lower bound for lossless quantum block encoding. Quantum Information and Computation, Vol. 24, No. 13 & 14 (2024) 1110-1145.

• G. Androulakis, W. Rabins, Optimal lower bound of the average indeterminate length lossless quantum block encoding. 2024 IEEE International Symposium on Information Theory (ISIT), Athens, Greece, 2024, pp. 2694-2699, doi: 10.1109/ISIT57864.2024.10619558.

• G. Androulakis, T.C. John, Relative Entropy via Distribution of Observables. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 27, No. 02, 2350021 (2024)

• G. Androulakis, T.C. John, Petz-Rényi Relative Entropy of Thermal States and their Displacements. Letters in Mathematical Physics, (2024) 114:57, https://doi.org/10.1007/s11005-024-01805-z.

• G. Androulakis, T.C. John, Quantum $f$-divergences via Nussbaum-Szkoła Distributions and Applications to $f$-divergence Inequalities, Reviews in Mathematical Physics,
  doi: 10.1142/S0129055X23600024.

• G. Androulakis, R. McGaha, A Variational Quantum Algorithm For Approximating Convex Roofs, Quantum Information and Computation, Vol. 22, No. 13&14 (2022) 1081–1109.

• G. Androulakis, R. McGaha, Some remarks on the entanglement number, Quanta 2020; 9: 22-36.

• G. Androulakis, A. Wiedemann, M. Ziemke, The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators, Mathematical Physics, Analysis and Geometry, 23, 10 (2020).

• G. Androulakis, D. Wright, Optimality in Quantum Data Compression using Dynamical Entropy. Phys. Rev. A 100, (2019) 032301.

• G. Androulakis, A. Wiedemann, GKSL generators and digraphs: Computing invariant states J. Phys. A: Math. Theor. 52 (2019) 305201.

• G. Androulakis, D. Wright, On the non-linearity of quantum dynamical entropy, J. Math. Phys. 60, (2019), 053504.

• G. Androulakis, R. Musulin, A connection between mixing and Kac’s chaos, Dynamical Systems, An International Journal, 34, no. 1, (2019), 113-129.

• G. Androulakis, R. Musulin, Quantum Kac’s chaos, Commun. Math. Sci., 16, No. 7, (2018), 1801-1825.

• G. Androulakis, M. Ziemke, On the closedness of the generator of a semigroup, Semigroup Forum 93, no. 3, (2016), 589-606.

• G. Androulakis, M. Ziemke, Generators of Quantum Markov semigroups, J. Math. Phys. 56, (2015), 083512.

• G. Androulakis, J. Bellissard C. Sadel, Dissipative dynamics in semiconductors at low temperature. J. Stat. Phys., 147, Issue 2, (2012), 448-486.

• G. Androulakis, A. Flattot, Hyperinvariant subspace for weighted composition operator on $L^p\mathit{}\mathrm{(}{\mathrm{[}\mathrm{0}\mathrm{,}\mathrm{1}\mathrm{]}}^d\mathrm{)}$, J. Operator Theory 66 No. 1, (2011), 125-144.

• G. Androulakis, N.J. Kalton, A. Tcaciuc On Banach spaces containing ${\mathrm{\ell }}_p$ or $c_{\mathrm{0}}$, Houston J. Math. 37, (3) (2011) 859-866.

• G. Androulakis, S.J. Dilworth, N.J Kalton, A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces, Combinatorica 30, (4), (2010), 359-385.

• G. Androulakis, A.I. Popov, A. Tcaciuc, V.G. Troitsky, Almost invariant half-spaces of operators on Banach spaces, Integral Equations and Operator Theory 65 (2009), 473-484.

• G. Androulakis, P. Dodos, G. Sirotkin, V.G. Troitsky, Classes of strictly singular operators and their products, Israel J. Math., 169, (2009), 221-250.

• G. Androulakis, F. Sanacory, An extension of Schreier unconditionality, Positivity, 12, (2008), no. 2, 313–340.

• G. Androulakis, K. Beanland, Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators, Quaestiones Mathematicae, 31 (2008), 151-161.

• G. Androulakis, F. Sanacory, Some equivalent norms on the Hilbert space, Banach spaces and their applications in analysis, Walter de Gruyter, Berlin, (2007), 241–250.

• G. Androulakis, A new method for constructing invariant subspaces, J. Math. Anal. Appl., 333 (2007) 1254–1263.

• G. Androulakis, K. Beanland, A Hereditarily Indecomposable Asymptotic ${\mathrm{\ell }}_{\mathrm{2}}$ Banach Space, Glasgow Mathematical Journal, 48, (2006) 503-532.

• G. Androulakis, K. Beanland, S.J. Dilworth, F. Sanacory, Embedding ${\mathrm{\ell }}_{\mathrm{\infty }}$ in the space of bounded operators on certain Banach spaces, Bull. London Math. Soc., 38, (2006), 979-990.

• G. Androulakis, E. Odell , Th. Schlumprecht and N. Tomczak-Jaegermann, On the structure of the spreading models of a Banach space, Canadian J. Math., 57, (4), (2005), 673–707.

• G. Androulakis and S. Dostoglou, Space averages and homogeneous fluid flows, Mathematical Physics Electronic Journal, Vol. 10, no 4 (2004), 1–12.

• G. Androulakis and P. Enflo, A property of strictly singular 1-1 operators, Ark. Mat. 41 (2003), 233–252.

• G. Androulakis, A note on the method of minimal vectors, Trends in Banach spaces and operator theory (Memphis, TN, 2001), Contemp. Math., (Amer. Math. Soc., Providence, RI), 321, (2003), 29–36.

• G. Androulakis and Th. Schlumprecht, The Banach space $S$ is complementably minimal and subsequentially prime, Studia Math., 156 (3), (2003), 227–242.

• G. Androulakis and Th. Schlumprecht, Strictly singular, non-compact operators exist on the Gowers-Maurey space, J. London Math. Soc. (2), 64, no 3, (2001), 655–674.

• G. Androulakis, P. Casazza and D. Kutzarova, Some more ${\mathrm{\ell }}_{\mathrm{2}}$-saturated weak Hilbert spaces, Canad. Math. Bull., 43, no. 3, (2000), 257–267.

• G. Androulakis and S. Dostoglou, Positivity results for the Yang-Mills-Higgs Hessian, Pacific J. Math, 194, no. 1, (2000), 1–17.

• G. Androulakis and E. Odell, Distorting mixed Tsirelson spaces, Israel J. Math. 109 (1999), 125–149.

• G. Androulakis and S. Dostoglou, On the stability of monopole solutions, Nonlinearity 11 No 3 (1998), 377–408.

• G. Androulakis, C. D. Cazacu and N. J. Kalton, Twisted sums, Fenchel-Orlicz spaces and property (M), Houston J. Math. 24 No 1 (1998), 105–126.

• G. Androulakis, A counterexample to a question of R. Haydon, E. Odell and H. Rosenthal, Proc. Amer. Math. Soc., 126 No 5 (1998), 1425–1428.

• G. Androulakis, A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces, Studia Math. 127, No 1, (1998), 65–80.

• G. Androulakis, Isomorphically polyhedral Banach spaces and mixed Tsirelson spaces of arbitrary distortion, Ph.D. dissertation, University of Texas, Austin, TX, 1996.

Ph.D. STUDENT SUPERVISION

• Sebastian de Vega Potts. Current PhD student. January 2026-present.
  

• Dilshan Somathilake. Current PhD student. January 2026-present.
  

• Chase Fleming. Current PhD student. August 2024-present.
  

• Theodoros Anastasiadis. Current PhD student. Summer 2022-present.
  

• Ryan McGaha. Ph.D. in 5/22. Title: The existence and quantum approximation of of optimal pure state ensembles. Current position: Principal Software Engineer, Northrop Grumman.
  

• Duncan Wright. Ph.D. in 5/19. Title: Dynamical entropy of quantum random walks. Current position: AMS Congressional Fellow.
  

• Alexander Wiedemann. Ph.D. in 5/19. Title: On the generators of quantum dynamical semigroups.Current position: Assistant Professor, Hamline University.
  

• Rade Musulin; Ph.D. in 05/18. Title: Classical and Quantum Kac’s chaos. Current position: Lecturer, Rowan University.
  

• Matthew Ziemke; Ph.D. in 05/15. Title: Pettis integration with applications to generators of Quantum Markov Semigroups. Current position: Assistant Teaching Professor, Drexel University.
  

• Frank Sanacory; Ph.D. in 06/07. Title: The richness of the space of operators on a Banach space. Current position: Associate Professor in College of Old Westbury SUNY.
  

• Kevin Beanland; Ph.D. in 08/06. Title: A Hereditarily Indecomposable Banach space and Embeddings of ${\mathrm{\ell }}_{\mathrm{\infty }}$ into spaces of operators. Current position: Professor in Washington and Lee University.
  

POSTDOCTORAL FELLOW SUPERVISION

• Dr. Tiju Cherian John, (Fulbright Fellow), 2/23/2021-12/31/2022.

• Dr. Antoine Flattot, AY 2006-2010.

• Dr. Bünyamin Sari; AY 2004-2005 (co-advised by Prof. S.J. Dilworth).

RESEARCH GRANTS AND OTHER AWARDS

CAS, Dean’s initiative for travel	$ 883	For participating in APS March 2024
CAS, Dean’s initiative for travel	$ 850	For participating in QIP2022
Fulbright Foundation		2021-2023
coPI in the application of Dr. Tiju Cherian John.
CAS, Dean’s initiative for travel	$ 1,500	For participating in QIP2020
CAS, Dean’s initiative for research	$ 5,000	01/2019-12/2019
No cost extension of the grant below		07/2002-07/2003
National Science Foundation (DMS-9970547)	$ 56,709	06/1999-07/2002
PI, “Isomorphic Theory of Banach Spaces”
National Science Foundation (DMS-9623260)	$ 7,000	07/1998-08/1998
NSF Young Investigator

INVITED/SUPPORTED PARTICIPATION IN WORKSHOPS

BIRS Workshop on Quantum Markov Semigroups and Channels. Special Classes and Applications.
Oaxaca, Mexico, August 18-23, 2024.
Invited talk: “The generalized quantum Stein’s Lemma”.

7th Math @ NTUA, Summer school in Mathematical Analysis,
National Technical University of Athens, June 27-July 3, 2024.
In honor of Professor Spiros Argyros, Website of the summer school
Invited talk “Connections between classical and quantum information theory”.

QPIDA2023 Quantum Probability and Infinite dimensional Analysis
Ohio State University, June 1-2, 2023
Invited participant.

QPIDA40 Quantum Probability and Infinite dimensional Analysis
Ohio State University, August 11-16, 2019
Invited participant.

BIRS Workshop on Quantum Transport Equations and Applications
Oaxaca Mexico, September 2-9, 2018
Co-organizer.

QMath 13 Mathematical Results in Quantum Physics
Georgia Tech, October 8-11, 2016
Invited participant.

BIRS Workshop on Quantum Markov Semigroups and Quantum Probability
Oaxaca, Mexico, August 23-28, 2015.
Invited participant.

NSF Workshops in Linear Analysis and Probability
Texas A&M University; College Station, TX
Invited participant
Summers: 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2004, 2005, 2008, 2013.

Program on Convex geometry and Geometric Functional Analysis
Mathematical Sciences Research Institute; Berkeley, CA
Invited Participant and member of the MSRI
January 1996

PARTICIPATION IN OTHER MEETINGS

Quantum Information Processing (QIP 2025)
Raleigh Convention Center, Raleigh, NC. February 24-28, 2025

Beyond IID in Information Theory 12
University of Illinois at Urbana-Champaign. July 29-August 2, 2024

International Symposium in Information Theory (ISIT) 2024
Accepted talk “Optimal lower bound of the average indeterminate length lossless quantum block encoding”
July 2024

APS March Meeting 2024
Contributed a talk “Optimal lower bound of the average indeterminate length lossless block encoding”
March 2024

APS March Meeting 2023
Contributed a talk “Quantum $f$-divergences via Nussbaum-Szkola distributions with applications to Gaussian states”
March 2023

QIP 2022 Quantum Information Processing (poster presentation)
Caltech
March 2022

Virtual APS March Meeting 2020
Contributed a virtual talk “Optimal quantum data compression using dynamical entropy”
March 2020

The Quantum Wave in Computing Boot Camp
Simons Institute of Computing, UC-Berkeley
January 2020

QIP 2020 Quantum Information Processing (poster presentation)
Southern Univ. of Sci. and Techn., Institute of Quantum Sci. and Eng., Peng Cheng Lab.
January 2020

QSC 2019 Quantum Simulation & Computation
ICMAT; Ignacio Cirac Lab, Madrid, Spain
October 2019

INVITED SEMINAR ADDRESSES

• Differential Equations Seminar, University of Missouri-Columbia 10/2023
  The Nussbaum-Szkola distributions and their use.

• Analysis seminar, University of Crete 6/2019
  The role of entropy in quantum communications

• General seminar, Technical University of Crete 6/2019
  The role of entropy in quantum communications

• General seminar, National and Kapodistrian Univerity of Athens 5/2019
  The role of entropy in quantum communications

• Computational and Applied Mathematics seminar, University of South Carolina 3/2019
  From quantum random walks to quantum data compression

• Computational and Applied Mathematics Seminar, University of South Carolina 2/2019
  From quantum random walks to quantum computations

• Differential Equations Seminar, University of Missouri-Columbia 3/2014
  Generators of Quantum Markov semigroups

CONTRIBUTED SEMINAR ADDRESSES (USC SEMINARS)

January-March and September-October 2023 (6 talks), October and November 2022 (3 talks), April 2021 (1 talk), November 2018 (1 talk), October 2017 (1 talk), October-November 2014 (6 talks), February 2013 (2 talks), January-February-November 2011 (4 talks), November 2010 (1 talk), September 2009 (3 talks), February-April 2008 (3 talks), April-October 2006 (3 talks), August-September 2005 (2 talks), January 2004 (1 talk), January-December 2003 (2 talks), January-February 2002 (2 talks).

INVITED COLLOQUIUM ADDRESSES

• Department of Physics and Astronomy, University of South Carolina 2/2023
  An excursion into quantum information with highlights from some of my latest research

• University of Crete 7/2014
  Generators of Quantum Markov semigroups

• Georgia State University 2/2011
  Dissipative dynamics in semiconductors at low temperature

• University of Tennessee at Chattanooga 6/2009
  The invariant subspace problem

• University of Alberta, (seminar) 3/2008
  A simple proof of a theorem of Gowers

• University of Crete 6/2007
  An new proof of Gowers’ dichotomy

• University of North Texas 10/2006
  Games in Banach spaces

• University of Mississippi 04/2004
  Some Ramsey type results in Banach spaces

• East Carolina University 10/2000
  Spreading models in Banach spaces

• University of South Carolina 03/2000
  Towards a positive solution of the invariant subspace problem
  in Banach spaces

• Kent State University 03/2000
  Existence of strictly singular non-compact operators in Hereditarily Indecomposable Banach spaces

• Miami University of Ohio 02/2000
  On the stability of Yang-Mills-Higgs Hessian

• Bowling Green State University 02/2000
  On a question of Gowers and Maurey

• University of Texas; San Antonio 10/1999
  New classes of weak Hilbert spaces

• Miami University of Ohio 09/1997
  Distortion of Banach spaces

INVITED CONFERENCE ADDRESSES

• BIRS 24w5240, Quantum Markov Semigroups and Channels, 8/2024
  Oaxaca, Mexico,
  On the generalized Quantum Stein’s Lemma
  

• QPIDA2023, Quantum Probability and Infinite dimensional Analysis 2023, 06/2023
  Ohio State University
  Quantum $f$-divergences via Nussbaum-Szkoła Distributions with applications to $f$-divergence inequalities

• QPIDA41, Quantum Probability and Infinite dimensional Analysis, 41, 03/2021
  on-line conference
  Entanglement measures

• QPIDA40, Quantum Probability and Infinite dimensional Analysis, 40, 08/2019
  Ohio State University
  The role of entropy in classical and quantum communications

• BIRS, Quantum Transport Equations and Applications, 09/2018
  Oaxaca, Mexico
  The induced semigroup on the space of Hilbert-Schmidt operators

• BIRS, Quantum Transport Equations and Applications, 09/2018
  Oaxaca, Mexico
  Quantum Kac’s chaos

• Virginia Operator Theory and Complex Analysis Meeting (VOTCAM) 10/2017
  University of Virginia
  Some forms of chaos in quantum mechanics

• BIRS, Quantum Markov semigroups and Quantum Probability 08/2015
  Oaxaca, Mexico
  Generators of Quantum Markov Semigroups

• AMS Regional Meeting: Special session on Banach spaces and applications 11/2010
  University of Richmond
  Dissipation of electrons in lightly doped semiconductors

• International Conference on Interdisciplinary Mathematical and Statistical Techniques 5/2007
  Memphis, TN
  A new approach to Ramsey-type results in F-spaces

• AMS Regional Meeting: Special Session on Vector Measures 03/2007
  Miami, OH
  Some of my favorite problems and related results on spaces of operators

• Conference in honor of N.J. Kalton’s 60th birthday 05/2006
  Miami University at Ohio
  The invariant subspace problems in Banach spaces

• AMS Regional Meeting: Special Session on Banach spaces and applications 04/2006
  Florida International University
  Some operator ideals and their products

• Workshop in Linear Analysis and Probability 08/2005
  Texas A & M University
  A new method for constructing invariant subspaces

• Workshop in Linear Analysis and Probability 08/2005
  Texas A & M University
  Gowers’ trichotomy in $F$-spaces

• AMS Regional Meeting: Special Session on spaces of vector valued functions 01/2005
  Atlanta, GA
  Some remarks about the Invariant subspace problem

• Workshop in Linear Analysis and Probability 08/2004
  Texas A & M University
  Embedding ${\mathrm{\ell }}_{\mathrm{\infty }}$ in the space of all operators

• AMS Regional Meeting: Special Session on Recent trends in Banach spaces 03/2004
  Athens, OH
  Banach spaces which admit homogeneous measures

• Workshop on Banach spaces and Ramsey Theory 02/2003
  Fields Institute, Toronto, Canada
  Constructing hyper-invariant subspaces of certain operators in Banach spaces

• Workshop in Geometric Functional Analysis 08/2002
  University of British Columbia, Vancouver, Canada
  A new sufficient condition for the existence of invariant subspaces

• AMS Regional Meeting: Special Session on Banach spaces and applications 03/2002
  Georgia Institute of Technology
  A property of strictly singular 1-1 operators

• Conference on “Trends on Banach spaces and Operator Theory” 10/2001
  University of Memphis
  A note on the method of minimal vectors

• Workshop in Linear Analysis and Probability 08/2000
  Texas A & M University
  Strictly singular non compact operators

• AMS Regional Meeting: Special Session on Banach and Operator Spaces 08/1999
  University of Texas, Austin
  Subsymmetric sequences in Schlumprecht space

• Workshop in Linear Analysis and Probability 08/1999
  Texas A & M University
  Candidates for prime Banach spaces

• Workshop in Geometric Functional Analysis 07/1999
  University of British Columbia, Vancouver, Canada
  The Banach space $S$ is subsequentially prime

• Workshop in Linear Analysis and Probability 08/1998
  Texas A & M University
  New ${\mathrm{\ell }}_{\mathrm{2}}$ saturated weak-Hilbert spaces

• AMS Regional Meeting: Special Session on Banach spaces 03/1998
  University of Louisville
  Twisted sums of Orlicz spaces

• AMS Regional Meeting: Special Session on Banach spaces and Wavelets 10/1997
  Georgia Institute of Technology
  Spectral analysis of Yang-Mills-Higgs functionals

• Workshop in Linear Analysis and Probability 08/1997
  Texas A & M University
  On the spectrum of Quadratic forms

• Wabash Extramural Modern Analysis Mini-conference 10/1996
  Indiana University- Purdue University at Indianapolis
  A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces

• Workshop in Linear Analysis and Probability 08/1996
  Texas A & M University
  Isomorphically polyhedral Banach spaces

• AMS Regional Meeting: Special Session on Banach spaces and related topics 06/1996
  University of Missouri, Columbia
  Distorting mixed Tsirelson spaces

• Concentration on Infinite-dimensional Convex Geometry 02/1996
  Mathematical Sciences Research Institute, Berkeley
  The ${\mathrm{\ell }}_{\mathrm{1}}$ index as an invariance for distortion

• Workshop in Linear Analysis and Probability 07/1995
  Texas A & M University
  Estimates of the ${\mathrm{\ell }}_{\mathrm{1}}$ index for some mixed Tsirelson spaces

• AMS Annual Meeting: Special Session in Banach space Theory 01/1993
  University of Texas, San Antonio
  On a question of R. Haydon, E. Odell and H. Rosenthal

 

TEACHING

 

COURSES TAUGHT AT USC

Term Course Title Enrollment Class Avg Overall instructor eval.

Spring 26 Math 711/Stat 811 Probab. II

Math/Stat 511 Probability

Math 899 Dissertation -

Fall 25 Math 710/Stat 810 Probab. I 12 4/4 5/5

Math 241 Vector Calculus 37 2.38/4 4/5

Math 899 Dissertation 2 T -

Summer 25 Math 899 Dissertation 2 T -

Spring 25 Math 242 Elem. Diff. Eqns 35 2.4/4 3.29/5

Math 757 Funct. Anal. II 12 4/4 5/5

Math 899 Dissertation 2 T -

Fall 24 Math 241H Vector Calculus 21 85/100 3.33/5

Math 756 Funct. Anal. I 14 4/4 5/5

Math 899 Dissertation 1 T -

Spring 24 Math 242 Elem. Diff. Eqns 44 76/100 4.08/5

Math/Phys/Csce 764 Q. Inf. 11 4/4 5/5

Math 899 Dissertation 1 T -

Fall 23 Math 241 Vector Calculus 41+37 73.11/100 4.12/5

Math 899 Dissertation 1 T -

Summer 23 Math 899 Dissertation 1 T -

Spring 23 Math 241 Vector Calculus 39 2.38/4 3.4/5

Math 728 Information Th. 7 4 4/5

Math 899 Dissertation 1 T -

Fall 22 Math 241 Vector Calculus 40 2.91/4 3.79/5

Math 520 Ordinary D.E. 14 2.6/4 3.57/5

Math 899 Dissertation 1 T -

Summer 22 Math 899 Dissertation 1 T -

Spring 22 Math/Stat 511 Probability 27 2.51/4 4.12/5

Math 757 Funct. Anal. II 13 4/4 4.5/5

Math 899 Dissertation 1 T -

Fall 21 Math 344 Applied Lin. Alg. 41 3.13/4 4.67/5

Math 756 Funct. Anal. I 17 4/4 4.25/5

Math 899 Dissertation 1 T -

Spring 21 Math 555H Analysis I 5 2.9/4 5/5

758C Quant. Complexity 13 4/4 5/5

Fall 20 Math 141 Calculus I 60 2.51/4 2.18/5

Math 758Q Quant. Info. 9 4/4 5/5

Spring 19 142, sec. 11,12 Calculus II 43 1.96/4 3.33/5

Math 554-703I Analysis I 18 2/4 3/5

Math 899 Dissertation 2 T -

Fall 18 142, sec.3,4 Calculus II 61 2.08/4 2.67/5

142, sec.11,12 Calculus II 61 2.17/4 2.53/5

Math 899 Dissertation 2 T -

Spring 18 Math 142 Calculus II 32 1.84/4 3.68/5

Math 704 Analysis II 14 2.8/4 3.58/5

Math 899 Dissertation 3 T -

Fall 17 Math 142 Calculus II 52 1.8/4 2.56/5

Math 703 Analysis I 15 1.96/4 3.08/5

Math 899 Dissertation 3 T

Spring 17 Math 142 Calculus II 56 1.98/4 3.78/5

Math552/752I Complex Var. 16 2.18/4 4.21/5

Math 899 Dissertation 3 T -

Math 890 Graduate Sem. 3 S -

Fall 16 Math 142 Calculus II 59 2.43/4 4.15/5

Math 544 Linear Algebra 33 3.25/4 3.56/5

Math 899 Dissertation 3 T -

Spring 16 Math 142 Calculus II 67 2.39/4 3.45/5

Math,Stat 511 Probability 48 2.27/4 2.32/5

Math 899 Dissertation 3 T -

Fall 15 Math 142 Calculus II 60 2.17/4 3.04/5

Math 241 Vector Calculus 44 2.04/4 3/5

Summer 15 Math 798 Dir. Read. Res. 2 4/4

Spring 15 Math 142 Calculus II 61 2.2/4 3.86/5

Math 757 Funct. An. II 7 3.58/4 4.4/5

Math 798 Dir. Read. Res. 3 4/4 5/5

Math 799 Masters Th. 1 4/4

Fall 14 Math 141 Calculus I 59 2.46/4 3.97/5

Math 756 Funct. An. I 9 3.44/4 4.57/5

Math 899 Dissertation 1 T -

Spring 14 Math 142 Calculus II 59 2.05/4 3.71/5

Math 704 Analysis II 17 3.38/4 3.63/5

Math 899 Dissertation 1 T -

Fall 13 Math 142 Calculus II 62 1.82/4 3.71/5

Math 703 Analysis I 20 2.75/4 3.63/5

Math 899 Dissertation 1 T -

Math 890 Graduate Sem. 1 S -

Spring 13 Math 141 Calculus I 54 1.74/4 3.52/5

Math 554-703I Analysis I 26 1.19/4 2.79/5

Math 899 Dissertation 1 T -

Fall 12 Math 122 Bus. Calc. 81 1.57/4 2.95/5

Math 520 Ordinary D.E. 31 1.8/4 2.82/5

Math 899 Dissertation 1 T -

Spring 12 Math 241 Calclulus III 39 1.09/4 3.92/5

Math 544 Linear Alg. Honors 16 3.09/4 2.17/5

Math 798 Dir. Read. Res. 1 4 -

Fall 11 Math 141 Calculus I 31+31 2.3/4 3.78/5

Math 242 Diff. Equations 46 1.82/4 3.71/5

Math 798 Dir. Read. Res. 1 4/4 -

Spring 11 Math 141 Calculus I 26+27 1.05/4 3.824/5

Math 550 Vector Analysis 22 2.17/4 4.2/5

Fall 10 Math 141 Calculus I 30+31 2.26/4 3.88/5

Math 241 Vector Calculus 39 1.9/4 3.33/5

Spring 10 Math 141 Calculus I 28+29 1.44/4 3.64/5

Math 554-703I Analysis I 10 1.6/4 3.57/5

Math 890 Graduate Sem. 1 S -

Fall 09 Math 141 Calculus I 26+25 2.57/4 4.6/5

Math 242 Diff. Equations 46 2.22/4 3.4/5

Spring 08 Math 141 Calculus I 28+25 1.85/4 3.8/5

Math 242 Diff. Equations 37 1.85/4 4.4/5

Fall 07 Math 524 Nonlinear Optim. 16 1.97/4 3.2/5

Math 141 Calculus I 30+30 2.23/4 3.5/5

Spring 07 Math197X Research & Carreers 10 N/A Not Obtained

Math 757 Funct. An. II 5 4/4 4/4

Fall 06 Math 142 Calculus II 26+24 2.15/4 2.9/4

Math. 756 Funct. An. I 8 4/4 3.3/4

Math 890 Graduate Sem. 1 S -

Math 899 Dissertation 1 T -

Spring 06 Math 241 Vector Calculus 45 2.44/4 2.87/4

Math 550 Vector Analysis 15 2.29/4 3.15/4

Math 899 Dissertation 2 T -

Fall 05 Math 142 Calculus II 26+25 1.99/4 3.05/4

Math 242 Diff. Equations 51 2.31/4 3.167/4

Math 890 Graduate Sem. 1 S -

Math 899 Dissertation 2 T -

Summ. II 05 Math 899 Dissertation 2 T -

Spring 05 Math 704 Complex An. 16 3.16/4 2.81/4

Math 890 Graduate Sem. 2 S -

Math 899 Dissertation 2 T -

Fall 04 Math 141 Calculus I 26+24 1.94/4 2.36/4

Math 554-703I Analysis I 10 3.25 3.8/4

Math 890 Graduate Sem. 2 S -

Math 899 Dissertation 2 T -

Summer II 04 Math798 Dir. Read. Res. 1 4/4 -

Spring 04 Math 544H Linear Alg. 13 3/4 2.7/4

Math 757 Funct. An. II 5 4/4 3.8/4

Fall 03 Math 142H Calculus II 25 2.48/4 3.3/4

Math 756 Funct. An. I 6 4 4/4

Spring 03 Math 704 Complex An. 5 3.3/4 3.00/4

Fall 02 Math 141 Calculus I 31+35 2.52/4 3.53/4

Math 703 Real Analysis 10 3.61/4 2.33/4

Spring 02 Math 142 Calculus II 31 2.48/4 3.63/4

Math 554 Analysis I 11 1.86/4 3.50/4

Fall 01 Math 141 Calculus I 26+33 2.00/4 2.88/4

Math 241 Calculus III 33 2.09/4 2.47/4

Spring 01 Math 142 Calculus II 25+35 2.46/4 3.33/4

Math 550 Vector An. 14 2.00/4 2.85/4

Fall 00 Math 141 Calculus I 32+35 2.28/4 3.08/4

 

SERVICE

 

SERVICE TO USC

I have participated in the following departmental committees (listed alphabetically):

Assessment committee
2011-2013, 2014-2015, 2016-2017.

Bylaws Committee
2024-2025.

Calculus Textbook Committee
2003-2004, 2004-2005.

Chair of the Colloquium Committee
2000-2001.

Chair of the Committee of tenured faculty
4/15/07-4/15/08, 4/15/13-4/15/14, 4/15/25-4/15/26.

Comprehensive Exam Committee
8/2004, 8/2007, 8/2015, 8/2016, 8/2020, 8/2022, 8/2023, 12/2025 (for two exams: functional analysis and quantum information).

Events Committee
2020-2021.

Faculty Advisory Council
2001-2002, 2002-2003, 2004-2005, 2006-2007, 2012-2013, 2013-2014, 2023-2025.

Faculty Mentor
2023-present (for Haonan Zhang).

Graduate Advisory Council
Spring 2006-Spring 2008, Fall 2009-Spring 2019, Fall 2022-Spring 2024.

Hiring committee:
2022-2023, 2023-2024 (for Tenure Track position in Data science, and Bridge to faculty position), 2024-2025 (Diversity Advocate for Tenure Track position in probability).

Hiring Task-force committee for drafting a strategic hiring plan:
2023, 2024.

Masters theses committee member (for students that I did not supervise)
Joseph Patterson (2001), Geoffrey Dillon (2004).

Peer Review Teaching Committee
2011-2013, 2018-2019, 2020-2022, 2022-2024 (Chair of F2 Committee), 2025-2026 (Chair of the T Committee).

Ph.D. theses committee member (for students that I did not supervise)
Mathew Gamel (Math, 2011), James Sweeney (Math, 2018), Jaree Hudson (Math, 2018), Taeho Kim (Statistics USC, 2019), Chung Nguyen (Physics USC, 2025), Rabins Wosti (Computer Science and Engineering, USC, 2025), McKenzie Black (Math 2024), Kasra Kiaee (Physics USC, 2025).

Physical Facilities Committee
2001-2002.

Post tenure review committee
2006-2008, 2009-2011, 2015-2018, 2021-2023, 2024-2026.

Practice AP Calculus Test Committee
2020-2022.

Qualifying exam committee:
12/2002, 8/2003, 8/2005, 1/2006, 1/2007, 8/2009, 1/2010, 8/2011, 8/2014, 1/2015, 8/2015, 8/2016, 1/2017, 8/2018, 1/2019, 8/2022, 1/2023, 8/2023, 1/2024.

Search committee for department chair
Fall 2011.

Textbook Committee
2004-2005.

Undergraduate Adviser
2000-2001, 2001-2002, 2002-2003, 2003-2004, 2004-2005, 2005-2006, 2021-Spring 2024.

Undergraduate Advisory Council
2002-2003, 2003-2004.

Other services to USC math department:

I visited and provided feedback on TA taught classes at the request of the Graduate Director during the years:
2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2015, 2017, 2023.

I wrote recommendation letters for University of South Carolina students during the years:
2001 (1 letter), 2004 (2 letters), 2005 (7 letters), 2006 (4 letters), 2007 (2 letter), 2008 (3 letter), 2009 (3 letter), 2010 (3 letters), 2012 (2 letters), 2013 (2 letters), 2014 (1 letter), 2015 (1 letter), 2017 (4 letters), 2018 (5 letters), 2019 (4 letters), 2020 (1 letter), 2021 (1 letter), 2022 (3 letters), 2024 (4 letters), 2025 (3 letters).

Directed reading for undergraduates:
In Summer 2010 I directed the reading of Gregory Marx through the materials of Math 555 (Analysis II). Gregory had been accepted in our graduate program but he did not have the required background knowledge of this class.

I participated in the following committees of the College of Arts and Sciences (CAS): CAS Interdisciplanary Working Group (Spring 2019).

I participated in the following University committees:

Faculty Senate:
2003-2006, 2010-2013.

SERVICE TO MATHEMATICAL COMMUNITY

Editor

Annals of Functional Analysis 2010-2023.
Associate Editor for Quanta 2021-present

Referee for grant proposals

• Canada Research Chairs nominee evaluation 2016

• Discovery Grant, Natural Sciences and Engineering Research Council of Canada 2013

• National Science Foundation proposal review 2007

• Discovery Grant for NSERC (National Sciences and Engineering Research Council of Canada) 2007

• Research and productivity Scholarship awards, USC 2003

• National Research Council 2001

Referee for professional journals and publishers

• Philosophical Transactions of the Royal Society A. 2025

• IEEE Transactions on Information Theory

• Quantum Studies: Mathematics and Foundations

• Quanta 2024

• Quantum Studies: Mathematics and Foundations

• Annalen der Physik

• Concrete Operators 2022

• Mathematical Analysis and its Applications

• Quantum Studies: Mathematics and Foundations 2020

• Journal of Stochastic Analysis

• Quantum Studies: Mathematics and Foundations 2019

• Annals of Functional Analysis 2015

• Mathematicae Debrecen 2013

• Proceedings of AMS

• Journal of Functional Analysis

• Glasgow Mathematical Journal

• Rocky Mountain Journal of Mathematics 2011

• Questiones Mathematicae 2010

• Mathematical Communications

• Journal of Mathematical Analysis and Applications

• Journal of Functional Analysis

• International Journal of Mathematics and Mathematical Sciences

• Matematicki Vesnik

• Rocky Mountain Journal of Mathematics 2009

• Collectanea Math. 2008

• Studia Mathematica

• Journal of Mathematical Analysis and Applications

• Abstract and Applied Analysis

• Proceedings of the American Mathematical Society

• Houston Journal of Mathematics

• Proceeedings of the American Mathematical Society

• Journal of Functional Analysis 2007

• Proceedings of the American Mathematical Society

• Conference Proceedings in honor of N.J. Kalton

• Canadian Journal of Mathematics 2006

• Archiv der Mathematik

• International Journal of Mathematics and Mathematical Sciences 2005

• Journal of Function spaces and Applications 2004

• Indiana University Mathematics Journal

• Proceedings of the American Mathematical Society 2003

• Proceedings of the American Mathematical Society

• Proceedings of the Royal Society of Edinburgh

• International Journal of Mathematics and Mathematical Sciences

• Israel Science Foundation

• Proceedings of the American Mathematical Society 2002

• Proceedings of the Royal Society of Edinburgh

• Journal of Functional Analysis

• Contemporary Mathematics: Trends in Banach spaces and Operator Theory

• Journal of Australian Mathematical Society 2001

• Prentice Hall

• International Journal of Mathematics and Mathematical Sciences

• Far East Journal of Mathematical Sciences 2000

• Journal of Functional Analysis

Reviewer for Mathematical Reviews

• Physical Review A 2022

• Journal of Mathematical Analysis and Applications 2016

• Studia Mathematica

• Michigan Math. J.

• Israel Journal of Math. 2014

• Ann. Inst. Fourier Grenoble 2013

• Non-linear Analysis

• J. Approximation Theory

• Positivity 2012

• J. Functional Analysis 2011

• Nonlinear Analysis 2010

• J. Functional Analysis

• Fundamenta Mathematicae

• Acta Mathematica Sinica

• Fundamenta Mathematicae

• Int. J. Math. Anal. 2009

• Banach spaces and their applications in analysis, Walter de Gruyter, Berlin 2007.

• J. Math. Anal. Appl.

• Contemporary Mathematics 2008

• Archiv der Mathematik

• Studia Mathematica

• J. London Math. Soc. 2007

• RACSAM Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat.

• Bull. Cl. Sci. Math. Nat. Sci. Math.

• J. Korean Math. Soc. 2006

• J. Funct. Anal. 2005

• Israel J. Math.

• Math. Rep. (Bucur.)

• Chinese Ann. Math. Series B

• Hokkaido Mathematical Journal 2004

• Sequences spaces and Applications 2003

• Bull. Fac. Educ. Utsunomiya Univ.

• Nonlinear Functional Analysis and Applications 2002

• Acta Math. Hungar.

• Set Valued Analysis

• Bull. Australian Mathematical Society

• Extracta Math. 2001

• Nonlinear Funct. Anal. Appl.

• Comment. Math. Univ. Carolinae

• Israel Journal of Mathematics 1999

• Contemporary Mathematics

• Functional Analysis, Conference proceedings, Narosa, New Delhi 1998

• Functional Analysis, Conference proceedings, Narosa, New Delhi

• Atti Sem. Mat. Fis. Univ. Modena

Other Reviewing

Reviewer for Math Zentralblatt.

Book Reviews

• Discrete Methods in Functional Analysis, M Mursaleen. CRC Press 2015

• Calculus, Anton, Bivens, Davis, Editor: Wiley (8th edition). 2006

• Ramsey methods in Analysis, S.A. Argyros, S. Todorcevic, Editor: Birkhauser. 2005

• Calculus, J. Rogawski, Editor: Freeman.

External evaluator for cases of hiring or tenure and promotion in the following Universities:

• University of Ioannina-Greece, (1 case in 2022, 1 case in 2023),

• National Technical University of Athens-Greece (1 case in 2014 and 1 case in 2019),

• University of Patras-Greece (1 case in 2018, 1 case in 2022),

• University of Athens-Greece (1 case in 2017, 2 cases in 2022),

• United Arab Emirates University (1 case in 2015),

• Technical University of Crete, (1 case in 2013 and 2 cases in 2014),

• St. Luis University (1 case in 2013),

Organizer of mathematical conferences:

Casa Mathematica Oaxaca, 9/2/18-9/7/18
Quantum Transport Equations and Applications (18w5059)
Co-organizer with Roberto Quezada, Eric Carlen, and Franco Fagnola.

AMS Regional Meeting: Special Session on Banach spaces 03/16/01-03/18/01
University of South Carolina at Columbia
co-organizer with S.J. Dilworth and M. Girardi

Other services to mathematical community:

I wrote recommendation letters for students not affiliated with the University of South Carolina during the years:
2021 (1 letter).

SERVICE TO SOUTH CAROLINA

Volunteer in the high school math competition during the years:
2012, 2013, 2018, 2019, 2020, 2023, 2024, 2025, 2026.

Volunteer judge for the Engineering and Science fair of South Carolina:
2015.

Volunteer for practice exam for AP placement Calculus test for graduating South Carolina high school students:

2019.