Joshua Cooper



Education
Ph.D.  Mathematics  University of California, San Diego  2003 
B.S.  Mathematics  MIT, Cambridge, MA  1998 
Experience
2010 – Present  Associate Professor  Department of Mathematics, Univ. of South Carolina 
2006 – Present  Palmetto Assistant Professor  Department of Mathematics, Univ. of South Carolina 
2006  Postdoctoral Researcher  Department of Mathematics, UCSD 
2005 – 2006  Senior Scientist  Combinatorial Structures and Algorithms Group, ETHZürich 
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 graphtheoretic problems arising from computational phylogenetics: Can sortingsbyreversal 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, kpartiteness, 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.
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Teaching Activities
Current Courses
 Math 374  Discrete Mathematics for Computer Science
 Math 574  Discrete Mathematics
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
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Honors and Other Special Scientific Recognition
 University of South Carolina Distinguished Undergraduate Research Mentor 2009
 6 times awarded Magellan Scholarship to mentor undergraduate research 20072011
 CoPI (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" (DUECCLI1020692) 20102012.
 PI of National Science Foundation (NSF) Division of Mathematical Sciences: Algebra, Number Theory, and Combinatorics Award, "Combinatorial Quasirandomness and its Applications" (DMSANTC1001370) 20102013.
 NSF Mathematical Sciences Postdoctoral Research Fellow 2003
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5 Selected Publications
 J. N. Cooper, A. Dutle, Spectra of Hypergraphs, Linear Alg. and Appl., to appear.
 J. N. Cooper, B. Doerr, J. Spencer, G. Tardos, Deterministic Random Walks on the Integers, Euro. J. Comb., 28 (2007), no. 8, 20722090.
 J. N. Cooper, A Permutation Regularity Lemma, Electronic J. Comb., 13 (2006), #R22.
 J. N. Cooper and R. L. Graham, Generalized de Bruijn Cycles, Ann. Comb., 8 (2004), no. 1, 1325.
 J. N. Cooper, Quasirandom Permutations, J. Comb. Th. Ser. A, 106 (2004), no. 1, 123143.
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IMI Preprints and Seminars
Go to the list of 13 seminars by Joshua Cooper.BACK TO TOP