Peter J. Nyikos

Professor, Dept. of Mathematics, USC

[PHOTO] This picture was taken at the 2008 Galway Colloquium.
Some other recent photos of me and many of my fellow topologists can be found at J. Vaughan's seminar page.
You can also watch me delivering a talk on limits in several variables on YouTube.
This was one of a series of lectures in higher mathematics known as the Carolina Math Seminar.
Another lecture on the same occasion was given by one of my former Ph.D. students, Laszlo Zsilinszky (1998).
Ph.D., Carnegie-Mellon University, 1971    Research interests include: point-set topology, especially covering and base properties of regular spaces, and the structure theory of locally compact spaces; the application of special axioms from set theory to constructing examples and establishing consistency and independence results; and applications of point-set topology, especially to Boolean algebras and functional analysis.

Click here for a slightly longer description of some of my research interests.


My Curriculum Vitae
in pdf form
in ps form

Publications

A few recent articles

Some of my preprints


Course Information

  • Math 550 (Fall, 2014) Vector Analysis
  • Math 242 (Fall, 2014) Elementary Differential Equations
  • Math 554 (Summer I, 2014) Analysis I
  • Math 241 (Spring, 2014) Vector Calculus
  • Math 534 (Fall, 2013) Elements of General Topology
  • Math 241 (Fall, 2013) Vector Calculus
  • Math 546 (SummerII, 2013) Algebraic Structures I
  • Math 544 (Spring, 2013) Linear algebra
  • Math 142 (Spring, 2013) Calculus II
  • Math 546 (Fall, 2012) Algebraic Structures I
  • Math 142 (Fall, 2012) Calculus II
  • Math 554 (Summer I, 2012) Analysis I
  • Math 141 (Spring 2012) Calculus I
  • Math 738N (Spring 2012) Topics in Topology (Set-theoretic Topology)
  • Math 241 (Fall, 2011) Vector Calculus
  • Math 534 (Fall, 2011) Elements of General Topology
  • Math 544 (Summer I, 2011) Linear Algebra
  • Math 550 (Fall, 2010) Vector Analysis
  • Math 241 (Fall, 2010) Vector Calculus
  • Math 731 (Spring, 2010) General Topology II
  • Math 122 (Spring, 2010) Calculus for Business and Social Sciences
  • Math 730 (Fall, 2009) General Topology I
  • Math 768 (Fall 2006)Models of Set Theory
  • Math 760 (Spring 2006) Set Theory


    Seminars

    Seminar in Topology and Set Theory, Spring 2012

    Seminar in Topology and Set Theory, Fall 2011

    Seminar in Topology and Set Theory, Fall 2007

    Seminar in Set Theory and Logic, Spring & Fall of 2006


    E-mail:
    nyikos @ math.sc.edu
    Mail:
    Peter J. Nyikos
    Department of Mathematics
    University of South Carolina
    Columbia, SC 29208
    USA
    Telephone:
    (803) 777-5134
    FAX:
    (803) 777-3783
    USC, Department of Mathematics, Peter J. Nyikos

    Peter J. Nyikos

    Professor, Dept. of Mathematics, USC

    [PHOTO] This picture was taken at the 2008 Galway Colloquium.
    Some other recent photos of me and many of my fellow topologists can be found at J. Vaughan's seminar page.
    You can also watch me delivering a talk on limits in several variables on YouTube.
    This was one of a series of lectures in higher mathematics known as the Carolina Math Seminar.
    Another lecture on the same occasion was given by one of my former Ph.D. students, Laszlo Zsilinszky (1998).
    Ph.D., Carnegie-Mellon University, 1971    Research interests include: point-set topology, especially covering and base properties of regular spaces, and the structure theory of locally compact spaces; the application of special axioms from set theory to constructing examples and establishing consistency and independence results; and applications of point-set topology, especially to Boolean algebras and functional analysis.

    Click here for a slightly longer description of some of my research interests.


    My Curriculum Vitae
    in pdf form
    in ps form

    Publications

    A few recent articles

    Some of my preprints


    Course Information

  • Math 242 (Fall, 2014) Elementary Differential Equations
  • Math 554 (Summer I, 2014) Analysis I
  • Math 241 (Spring, 2014) Vector Calculus
  • Math 534 (Fall, 2013) Elements of General Topology
  • Math 241 (Fall, 2013) Vector Calculus
  • Math 546 (SummerII, 2013) Algebraic Structures I
  • Math 544 (Spring, 2013) Linear algebra
  • Math 142 (Spring, 2013) Calculus II
  • Math 546 (Fall, 2012) Algebraic Structures I
  • Math 142 (Fall, 2012) Calculus II
  • Math 554 (Summer I, 2012) Analysis I
  • Math 141 (Spring 2012) Calculus I
  • Math 738N (Spring 2012) Topics in Topology (Set-theoretic Topology)
  • Math 241 (Fall, 2011) Vector Calculus
  • Math 534 (Fall, 2011) Elements of General Topology
  • Math 544 (Summer I, 2011) Linear Algebra
  • Math 550 (Fall, 2010) Vector Analysis
  • Math 241 (Fall, 2010) Vector Calculus
  • Math 731 (Spring, 2010) General Topology II
  • Math 122 (Spring, 2010) Calculus for Business and Social Sciences
  • Math 730 (Fall, 2009) General Topology I
  • Math 768 (Fall 2006)Models of Set Theory
  • Math 760 (Spring 2006) Set Theory


    Seminars

    Seminar in Topology and Set Theory, Spring 2012

    Seminar in Topology and Set Theory, Fall 2011

    Seminar in Topology and Set Theory, Fall 2007

    Seminar in Set Theory and Logic, Spring & Fall of 2006


    E-mail:
    nyikos @ math.sc.edu
    Mail:
    Peter J. Nyikos
    Department of Mathematics
    University of South Carolina
    Columbia, SC 29208
    USA
    Telephone:
    (803) 777-5134
    FAX:
    (803) 777-3783