IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Joshua Cooper

  • Professor
  • Department of Mathematics
  • University of South Carolina


Education

Ph.D. Mathematics University of California, San Diego 2003
B.S. Mathematics MIT, Cambridge, MA 1998

Experience

2017 – Present Professor Department of Mathematics, Univ. of South Carolina
2012 – Present Chief Data Scientist BehaviorMatrix, Blue Bell, PA
2006 – Present Palmetto Assistant Professor Department of Mathematics, Univ. of South Carolina
2010 – 2016 Associate Professor Department of Mathematics, Univ. of South Carolina
2006 Post-doctoral Researcher Department of Mathematics, UCSD
2005 – 2006 Senior Scientist Combinatorial Structures and Algorithms Group, ETH-Zürich
2003 – 2005 Postdoctoral Research Fellow Courant Institute of Mathematical Sciences, NYU
2003 Consultant Microsoft Research (Theory Group), Redmond, WA

Research

Research Interests

  • Quasirandomness
  • Spectral Hypergraph Theory
  • Discrete Geometry
  • Universal Cycles
  • Combinatorial Number Theory
  • Coding Theory
  • Extremal Graphs
  • Matrices over GF(2) and Graph Pressing
  • Applied Machine Learning
  • Permutation Patterns

Current Projects

  • Graph pressing sequences. We use matrix algebra over GF(2) to study graph-theoretic problems arising from computational phylogenetics: Can sortings-by-reversal be efficiently sampled? When are they unique? Are they highly connected by "small edits"?

  • Spectral hypergraph theory. We study the connection between the homogeneous spectra of hypermatrices/tensors (e.g., the adjacency hypermatrix and Laplacian) associated with hypergraphs and the properties of those hypergraphs, such as degree sequences, subgraph counts, k-partiteness, and connectivity.

  • CNNs in Biology. We apply modern image processing techniques (especially, deep convolutional neural networks) to perform classification and quantitation of cell phenotypes in microscopy performed during immunological/hematological experiments.


BACK TO TOP

Teaching Activities

Current Courses

  • Math 241 - Vector Calculus

Previous Courses

  • Math 141 - Calculus I
  • Math 142 - Calculus II
  • Math 241 - Vector Calculus
  • Math 374 - Discrete Mathematics for Computer Science
  • Math 511 - Probability
  • Math 544 - Linear Algebra
  • Math 570 - Discrete Optimization
  • Math 574 - Discrete Mathematics
  • Math 575 - Discrete Mathematics II
  • Math 776 - Graph Theory I
  • Math 777 - Graph Theory II
  • Math778C - Topics in Combinatorics: Combinatorial Complexity
  • Math778G - Topics in Combinatorics: Discrete Geometry
  • Math778P - Topics in Combinatorics: Probabilistic Methods

BACK TO TOP

Honors and Other Special Scientific Recognition

  • University of South Carolina Distinguished Undergraduate Research Mentor 2009
  • 6 times awarded Magellan Scholarship to mentor undergraduate research 2007--2011
  • Co-PI (with Linyuan Lu) of National Science Foundation (NSF) Division of Undergraduate Education: Course, Curriculum, and Laboratory Improvement (Type 2), "Collaborative Research: STEM Real World Applications of Mathematics" (DUE-CCLI-1020692) 2010-2012.
  • PI of National Science Foundation (NSF) Division of Mathematical Sciences: Algebra, Number Theory, and Combinatorics Award, "Combinatorial Quasirandomness and its Applications" (DMS-ANTC-1001370) 2010--2013.
  • NSF Mathematical Sciences Postdoctoral Research Fellow 2003

BACK TO TOP

5 Selected Publications

  • S. Butler, J. Cooper, G. Hurlbert (eds.), Connections in Discrete Math: Celebrating the Mathematics of Ron Graham, Cambridge University Press, in press.
  • J. N. Cooper, A. Dutle, Spectra of uniform hypergraphs, Linear Algebra Appl. 436 no. 9 (2012), 3268---3292.
  • J. N. Cooper and J. Spencer, Simulating a Random Walk with Constant Error, Combinatorics, Probability, and Computing, 15 (2006), no. 06, 815--822.
  • J. N. Cooper, Quasirandom Permutations, Journal of Combinatorial Theory, Series A 106 (2004), no. 1, 123--143.
  • Laila Elsherif, Carrington A. Metts, Noah Sciaky, Joshua N. Cooper, Stephen P. Holly, and Leslie V. Parise, Quantitation of Suicidal Netosis Using Convolutional Neural Networks in Human Neutrophils, Blood, Vol. 128 22, 3686, 2016.

BACK TO TOP

IMI Preprints and Seminars

Go to the list of 17 seminars by Joshua Cooper.

BACK TO TOP

Curriculum Vitae

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster
USC