It is noble to teach oneself, but still nobler to teach others – and less trouble.
I am supervising 3 Ph.D. students:
- Isabel Byrne
- John Byrne (co-supervised with Mike Tait)
- Vishal Gupta
Past Graduate Students
- Brandon Gilbert – Brandon worked with me during the period 2020-2024; he published one paper in Experimental Mathematics and finished with a M.Sc. in 2024.
- Mutasim Mim – Mutasim worked with me during the period 2021-2023; he got a M.Sc. at UD in 2023 and due to personal reasons, moved to CUNY in summer 2023.
- Himanshu Gupta – Himanshu defended his Ph.D. Thesis in March 2023 and is a PIMS Postdoctoral Fellow at University of Regina, Canada starting Fall 2023.
- Dheer Noal (co-supervised with Mike Tait), Thesis: Spectral Turan theorems and related problems , Ph.D. 2022, Dr. Ralph Faudree Postdoc at University of Memphis since 2023.
- Paul Steller, M.Sc. 2020, Thesis: A survey of the degree/diameter problem for undirected graphs, Booz Allen Hamilton, Software Engineer.
- Matt Mc Ginnis, Ph.D. 2018, Thesis: Combinatorial and spectral properties of graphs and association schemes, Full Stack Software Engineer at McKinney.
- Peng Xu, Ph.D. 2017 – Thesis: Some topics in random walks on graphs, harmonic analysis and Rogozin type inequalities for locally compact groups, (co-supervised with Mokshay Madiman), Assistant Professor (Tenure-track) at Eastern Michigan University
- Weiqiang Li, Ph.D. 2015 – Thesis: Algebraic methods in graph theory, Google, Senior Software Engineer.
- Jason Vermette, Ph.D. 2015 – Thesis: Spectral and combinatorial properties of friendship graphs, simplicial rook graphs and extremal expanders, Assistant Professor (Tenure-track) at Missouri Baptist University
- Wiseley Wong, Ph.D. 2013 – Thesis: Spanning trees, toughness and eigenvalues of regular graphs, Senior Lecturer at University of Maryland
- Michael Tait, M.Sc. 2011 – Thesis: The Alon-Saks-Seymour and Rank-Coloring Conjectures, Assistant Professor, Villanova University, NSF Postdoc Carnegie Mellon University;winner of the Brualdi early career prize of the International Linear Algebra Society.
Undergraduate Students
- Michael Trungold – Summer 2024 – spectral graph theory
- Jan Ahmed – Summer Scholar 2022, 2023, Winter Scholar 2023 – LPS graphs and synchronizing graphs
- Danielle Henry – Summer Scholar 2021 – Cospectral graphs
- Alex You – Summer Scholar 2021 – Flip graphs
- Brandon Gilbert – Senior Thesis 2020 – Optimal addressings of graphs
- Zhao Kuang Tan – Nanyang Technological University, Singapore, undergraduate student who visited me for 6 months in 2019 On the flip graphs on perfect matchings of complete graphs and signed reversal graphs
- Chunxu Ji – Senior Thesis 2019 – Eigenvalues of simplicial complexes
- Chunxu Ji – Summer Scholar 2018 – Determining a graph by eigenvalues of simplicial complexes
- Brandon Gilbert – Summer Scholar 2018 – Optimal addresings of graphs and Addressing Johnson graphs, complete multipartite graphs, odd cycles and random graphs
- Gifan Thadathil – Senior Thesis 2018 – Spectral sparsification of graphs
- Chunxu Ji – Summer Scholar 2017 – Graph edge coloring
- Abhinav Ratnagiri (Charter School of Wilmington, Summer 2017) – Abhinav sat in some of the research meetings with Chunxu Ji and Joseph Buxton.
- Joseph Buxton – Summer Scholar 2017 – Graphs from systems of equations over finite fields
- Stephanie Clampitt – Summer Scholar 2016 – Applications of mathematics to economy
- Nicole DiPasquale – Summer Scholar 2016 – Investigations in network medicine
- Cory Cutsail – McNair Scholar 2016 – The design of effective school choice mechanisms
- Pasquale Zingo – Summer Fellow 2016 – Q-ary addressings of graphs
- Adithya Dattari – Charter School of Wilmington, high school student 2015 – Adithya worked with me on graph theory and linear algebra in summer 2015. Adithya was accepted in the MIT Primes program and did an undergraduate degree in computer science at Princeton.
- Yi Zhang – Summer Scholar 2015 – The connectivity of the distance i graph of a distance-regular graph
- Nanners Lamet – Summer Scholar 2015 – Intersecting families of triangulations
- Yi Zhang – Summer Scholar 2014 – Constructing expanders using signed adjacency matrices
- Emma Kulek – Summer Scholar 2014 – The mathematics and economics of matchings
- Alexandra Sampugnaro – Summer Fellow 2013
- Michelle Markiewitz – Summer Scholar 2012 – Network addressing using biclique decomposition
- Dajun Lin – Summer Scholar 2011 – Cospectral graphs
- Patrick Devlin – Summer Scholar 2010 – Analysis and construction of large graphs of fixed diameter and maximum degree
- Michael Tait – Summer Research 2010