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Mathematics Faculty Research / Discrete Mathematics

Discrete Mathematics

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Faculty

Benjamin Braun
Professor
Ph.D. Washington University in St. Louis, 2007.
Algebraic, Geometric, and Topological Combinatorics.
Richard Ehrenborg
Professor
Ph.D. Massachusetts Institute of Technology, 1993.
Algebraic Combinatorics.
Mario Midence Ordenez
Lecturer
Ph.D., University of Florida, 2023.
Algebraic Combinatorics.
Margaret A. Readdy
Professor
Ph.D., Michigan State  University, 1993.
Algebraic Combinatorics.
Khrystyna Serhiyenko
Assistant Professor
Ph.D. University of Connecticut, 2015.
Quiver representations and cluster algebras.
Martha Yip
Associate Professor
Ph.D., University of Wisconsin, 2010.
Algebraic Combinatorics and Combinatorial Representation Theory.
Yuan Zhou
Assistant Professor
Ph.D., University of Calfornia, Davis, 2017.
Discrete Optimization.

 

Emeritus Faculty

Carl Lee
Professor
Ph.D., Cornell University, 1981.
Polytopes; Mathematics Education.


Graduate Students (Qualified)

Affiliated Graduate Students

 

Recent PhDs

 

Visiting Faculty and Postdocs Alumni (First Position after U Kentucky Listed)

  • Rafael Gonzalez D'Leon, Research Associate Fall 2017, York University
  • Sergey Kitaev , Visiting Assistant Professor Fall 2003 - Fall 2004, Tenure-track Assistant Professor at Reykjavik University in Iceland
  • Edwin O'SheaVisiting Assistant Professor 2006 - 2007, Two-year postdoc at CINVESTAV in Mexico City, Mexico
  • Jakayla RobbinsPostdoctoral Scholar 2003-2004, Tenure-track Assistant Professor at the University of Montana
  • Guoce Xin , Visiting Assistant Professor 2005 - 2006, Center for Combinatorics, Nankai University
Affiliated Faculty

Seminars

Courses

Fall 2024

  • Math 514 Combinatorial Structures and Techniques (Readdy)
  • Math 714 Topics in Discrete Mathematics: Polytopes (Ehrenborg)

Spring 2024

  • Math 614 Enumerative Combinatorics (Serhiyenko)

Fall 2023

  • Math 514 Combinatorial Structures and Techniques (Braun)
  • Math 714 Topics in Discrete Mathematics (Zhou)

Spring 2023

  • Math 614 Enumerative Combinatorics (Readdy)

Fall 2022

  • Math 514 Combinatorial Structures and Techniques (Yip)
  • Math 714 Topics in Discrete Mathematics (Braun)

Spring 2022

  • Math 614 Enumerative Combinatorics (Serihyenko)
  • Math 714 Topics in Discrete Mathematics (Yip)

Fall 2021

  • Math 514 Combinatorial Structures and Techniques (Zhou)
  • Math 714 Topics in Discrete Mathematics: Topics in Algebraic and Geometric Combinatorics (Ehrenborg)

Spring 2021

  • Math 614 Enumerative Combinatorics (Yip)
  • Math 714 Topics in Discrete Mathematics (Serihyenko)

Fall 2020

  • Math 514 Combinatorial Structures and Techniques (Zhou)
  • Math 714 Topics in Discrete Mathematics (Braun)

Spring 2020

  • Math 614 Enumerative Combinatorics (Ehrenborg)
  • Math 714 Topics in Discrete Mathematics: Polytopes: A Modern View (Readdy)

Fall 2019

  • Math 514 Combinatorial Structures and Techniques (Braun)
  • Math 714 Topics in Discrete Mathematics (Yip)

Spring 2019

  • Math 614 Enumerative Combinatorics (Braun)
  • Math 714 Topics in Discrete Mathematics: Discrete and Mixed-Integer Optimization (Zhou)

Fall 2018

  • Math 514 Combinatorial Structures and Techniques (Yip)
  • Math 714 Topics in Discrete Mathematics: Hopt Algebras (Ehrenborg)

Spring 2018

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics (Braun)

Fall 2017

  • Math 514 Combinatorial Structures and Techniques (Yip)

Spring 2017

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics (Gonzalez De Leon)

Fall 2016

  • Math 514 Combinatorial Structures and Techniques (Ehrenborg)
  • Math 714 Topics in Discrete Mathematics (Yip)

Spring 2016

  • Math 614 Enumerative Combinatorics (Braun)
  • Math 714 Topics in Discrete Mathematics: Symmetric Functions and Stratifications (Readdy)

Fall 2015

  • Math 714 Topics in Discrete Mathematics: The Partition Lattice (Ehrenborg)

Spring 2015

  • Math 611 Combinatorial Optimization (Lee)

Fall 2014

  • Math 514 Combinatorial Structures and Techniques (Lee)
  • Math 714 Topics in Discrete Mathematics (Braun)

Spring 2014

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics (Braun)

Fall 2013

  • Math 514 Combinatorial Structures and Techniques (Ehrenborg)
  • Math 714 Topics in Discrete Mathematics: Convex Polytopes (Lee)

Spring 2013

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics: Permutations (Ehrenborg)

Fall 2012

  • Math 514 Combinatorial Structures and Techniques (Lee)
  • Math 714 Topics in Discrete Mathematics: The Möbius function (Readdy)

Spring 2012

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics: Local Cohomology and Combinatorics (Braun)

Fall 2011

  • Math 514 Combinatorial Structures and Techniques (Ehrenborg)
  • Math 714 Topics in Discrete Mathematics: The ABCDs of Enumerating Flags (Readdy)

Spring 2011

  • Math 614 Enumerative Combinatorics (Braun)
  • Math 714 Topics in Discrete Mathematics (??)

Fall 2010

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics (??)

Spring 2010

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics: Commutative Algebra and Topology of Simplicial Complexes (Ehrenborg)

Fall 2009

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics: Combinatorics of Coxeter Groups (Readdy)

Spring 2009

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics: Symmetric Functions (Ehrenborg)

Fall 2008

  • Math 514 Combinatorial Structures and Techniques ()
  • Math 714 Topics in Discrete Mathematics: Topological Methods in Combinatorics (Braun)

Spring 2008

  • Math 614 Enumerative Combinatorics ()
  • Math 714 Topics in Discrete Mathematics: Recent Trends in Polytopes (Readdy)

Fall 2007

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics: Polytopes (Ehrenborg)

Spring 2007

  • Math 614 Enumerative Combinatorics (Lee)

Fall 2006

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics: Lattice Point Enumeration (Ehrenborg)

Spring 2006

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics ()

Fall 2005

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics: Posets and Permutations (Ehrenborg)

Spring 2005

  • Math 614 Enumerative Combinatorics ()
  • Math 714 Topics in Discrete Mathematics: Topics in Geometric Combinatorics (Readdy)

Fall 2004

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics ()

Spring 2004

  • Math 614 Enumerative Combinatorics (Readdy)
  • Math 714 Topics in Discrete Mathematics: Geometric Probability (Ehrenborg)

Fall 2003

  • Math 515 Linear and Combinatorial Optimization (Lee)
  • Math 714 Topics in Discrete Mathematics: Polytopes (Ehrenborg)

Spring 2003

  • Math 765 Topics in Algebra (Ehrenborg)

Fall 2002

  • Math 565 Linear Algebra (Ehrenborg)
  • Math 714 Topics in Discrete Mathematics: Representation Theory and the Symmetric Group (Readdy)

Spring 2002

  • Math 715 Topics in Discrete Mathematics: The g-Theorem (Lee)

Fall 2001

  • Math 714 Topics in Discrete Mathematics: Hyperplane Arrangements (Readdy)

Spring 2001

  • Math 714 Topics in Discrete Mathematics: Polytopes and Commutative Algebra (Readdy)

Fall 2000

  • Math 565 Linear Algebra (Readdy)
  • Math 515 Mathematical Programming and Extensions (Lee)
  • Math 715 Enumerative Combinatorics (Ehrenborg)

Sample Coursework for Doctoral Students