Academic Degrees:
| August 2000 | Ph.D. in Mathematics (under the supervision of Doug. West), University of Illinois. |
| June 1994 | B.S. in Computer Science (with distinction), Zhejiang University. |
Academic Positions:
| July 2010 — present | Professor , Miami University. |
| July 2006 — June 2010 | Associate Professor , Miami University. |
| August 2001 — July 2006 | Assistant Professor , Miami University. |
| August 2000 — August 2001 | Assistant Professor , Michigan Technological University. |
| September 1994 — June 2000 | Teaching/Research assistant , University of Illinois, Urbana-Champaign |
Honors:
| Fall 2007 | Distinguished scholar award, Miami University (In recognition of scholarship of a junior faculty member, one per year, selected campus-wide) |
| Spring 2001 | Outstanding Faculty Research Award , Mathematical Sciences, Michigan Technological University |
| Spring 2000 | Hohn-Nash Award , University of Illinois at Urbana-Champaign (In recognition of outstanding scholarship and promise in applied mathematics. Two recipients are selected each year.) |
| March 1997 — present | Honor Society of Phi Kappa Phi |
Grants:
| 7/2019 — 5/2024 | National Science Foundation Grant “Extremal Problems on graphs and hypergraphs”, |
| 7/2014 — 6/2018 | National Science Foundation Grant “Extremal Problems for sparse hypergraphs and graphs”, |
| 9/2013 — 8/2014 | Simons Foundation Collaboration Grant for Mathematicians “Extremal problems on graphs, hypergraphs, and set systems |
| 1/2007 — 1/2009 | National Security Agency Young Investigator Grant “Extremal problems on color structures in edge-colorings of graphs” |
Professional Services:
- Referee regularly for professional journals, which include: Advances in Mathematics, Proceedings of AMS, Bulletin of London Math Society, International Mathematics Research Notices, Forum of Math: Sigma, Advances in Combinatorics, Journal of Combinatorial Theory Series A and B, Combinatorica, Combinatorics, Probability, and Computing, SIAM J. on Discrete Math,Journal of Graph Theory, Electronic J. Combinatorics, Discrete Math, Graphs and Combinatorics, and etc.
- Organized two international meetings, one regional meeting, four minisymposia at SIAM meetings on Discrete Math, and six sepcial sessions at AMS meetings.
- Reviewed grant proposals and served on panels for several federal research agencies.
Former students:
- Adam Ghattas, Masters, 2007, Logos Analytics, owner.
- Bryan Petrak, Masters, 2007, Ph.D. Delaware 2012. Systems engineer, Boeing.
- Christine Truesdell, Masters, 2008.
- Michael Salerno, Masters, 2009, Director of Personal lines product management, Cincinnati Insurance companies.
- Robert Seiver, Masters, 2010, risk manager for a wealth management firm.
- Edward Boehnlein, Masters, 2011, Ph.D. South Carolina, 2016. Senior Analyst, AML RightSource.
- Axel Brandt, Masters, 2012, Ph.D. U. Colorado at Denver, 2016. Assistant professor, John Carroll University.
- Andrew Newman, Masters, 2013. Ph.D. Ohio State University 2018. Assistant professor, Indiana State University.
- Clayton Collier-Cartaino, Masters, 2014.
- Nathan Graber, Masters 2014. Ph.D. University of Colorado at Denver, 2022.
- David Irwin, Masters, 2015. Quality assurance automation engineer, Hungryroot.
- Robert Enzmann, Masters, 2017, Ld. ML Engineer, CVS health.
- Sean Longbrake, BS, 2022. Ph.D student at Emory University.
Recent Talks:
- “Balanced supersaturation and its applications to enumeration problems”, 30th Altanta Lecture Series on graph theory and combinatorics, Emory University, Atlanta, GA, Nov, 2025.
- “On the number of H-free hypergraphs”, Banff research station/Institute of Advanced Study in Mathematics workshop “Fontiers in Combinatorics and Computer Science”, IASM, Hangzhou, China, June 2025.
- “Balanced supersaturation and Turan numbers in random graphs’’, Extremal Combinatorics at Illinois Meeting IV, Urbana, IL, June 2023.
- “Balanced supersaturation and Turan numbers in random graphs’’, American Mathematical Society Sectional Meeting, Cincinnati, OH, April, 2023.
- “Balanced supersaturation and Turan numbers in random graphs’’, Georgia Tech Combinatorics seminar, Atlanta, GA, March, 2023.
- “Degenerate Turan problems’’, Emory University Combinatorics seminar, Atlanta, GA, Nov, 2022.
- “Degenerate Turan problems for graphs”, University of Illinois Combinatorics Colloquium, September, 2021.
- “Linear cycles of given lengths in linear hypergraphs”, SCMS Cominatorics online seminar, September, 2020.
- “On Turan exponents of graphs”, Extremal and Probabilistic Combinatorics seminar (online), August, 2020.
- “Linear cycles of consecutive lengths in linear hypergraphs”, University of Illinois Combinatorics seminar (online), June, 2020
- “Many Turan exponents via subdivisions”, American Mathematical Society Sectional Meeting, Gainesville, FL, Fall 2019.
- “On a hypergraph Turan problem”, American Mathematical Society Sectional Meeting, Madison, WI, Fall 2019.
- “On Turan exponents of bipartite graphs”, American Mathematical Society Sectional Meeting, Ann Arbor, MI, Fall 2018.
- “On Turan exponents of bipartite graphs”, SIAM Meeting on Discrete Mathematics, Denver, CO, June, 2018.
- “Supersaturation of even linear cycles in linear hypergraphs”, American Mathematical Society Sectional Meeting, BUffalo, NY, Fall 2017.
- “Turan numbers of small subdivisions”, SIAM Meeting on Discrete Mathematics, Atlanta, GA, June 2018.
- “Turan problems for sparse hypergraphs”, SIAM Meeting on Discrete Mathematics, Atlanta, GA, June 2018.
- “Hypergraph Turan numbers via Lagrangians”, American Mathematical Society Sectional Meeting, Salt Lake City, UT, Spring 2016.
- “Turan problems for sparse hypergraphs”, Atlanta Lectures Series on Graphs and Combinatorics, Atlanta, GA, Fall 2015
- “The Turan problem for hypergraph forests”, WestFest, a birthday conference in honor of Doug West’s 60th birthday, Minneapolis, MN, Summer 2014.
- “The Turan problem for hypergraph forests”, WestFest, a birthday conference in honor of Doug West’s 60th birthday, Minneapolis, MN, Summer 2014.
- “The Turan problem for hypergraph forests”, SIAM Discrete Mathematics Meeting, Minneapolis, MN, Summer 2014.
- “The expansion method in Turan problems”, Mittag-Leffler Institute Special semester in graphs, hypergraphs, and computing, Stockholm, Sweden, Spring 2014.
- “Two Turan results on graphs and hypergraphs”, American Mathematical Society Sectional Meeting, Louisville, KY, Fall 2013.
- “Hypergraph Turan and Ramsey results on linear cycles”, EXCILL 2: Extremal Combinatorics at Illinois, Urbana, IL, Spring 2013.
- “Hypergraph Turan numbers of linear cycles”, American Mathematical Society Annual Meeting, San Diego, CA, Winter 2013.
- “Hypergraph Turan numbers of linear cycles”, American Mathematical Society Sectional Meeting, Akron, OH, Fall 2012.
- “Turan numbers of expanded hypergraphs”, Oberwolfach workshop on Hypergraph Turan problems, Oberwolfach, Germany, Spring 2012.
- “Co-degree threshold of the Fano plane”, Oberwolfach workshop on Hypergraph Turan problems, Oberwolfach, Germany, Spring 2012.
- “Set families with a forbidden induced subposet”, American Mathematical Society Sectional Meeting, Washington, DC, Spring 2012.
- “Turan numbers of expanded hypergraphs”, American Mathematical Society Sectional Meeting, Tampa, FL, Spring 2012.
- “Hypergraph Turan numbers of uniform linear paths”, American Mathematical Society Sectional Meeting, Winston Salem. NC, Fall 2011.
- “Turan numbers of subdivided graphs”, SIAM-SEAS Southeast Section Meeting, Charlotte, NC, Spring 2011.
- “Turan numbers of subdivided graphs”, American Mathematical Society Sectional Meeting, Richmond, VA, Fall 2010.
- “Set systems without a strong simplex”, American Mathematical Society Sectional Meeting, St. Paul, MN, Spring 2010.
- “Some Turan type results”, SIAM Annual Meeting, Denver, CO, Summer 2009.
- “Compact topological cliques in sparse graphs”, American Mathematical Society Sectional Meeting, Urbana, IL , 2009.