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Hao
Huang
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About me
Currently I am a Ph.D. candidate in Department of Mathematics, UCLA. I completed my B.S. degree in School of Mathematical Sciences, Peking University in 2007.
My thesis advisor is Professor Benny Sudakov, and I expect to graduate in June 2012. (Click for a nice photo of our combinatorics group at UCLA)
Next academic year (2012-2013), I will be a member in the School of Mathematics
at the Institute for Advanced Study.
In 2013-2014, I will be at DIMACS.
Research Statement (Oct, 2011)
Research interest
My research interest includes extremal combinatorics,
probabilistic/algebraic
methods, structural graph theory, and theoretical computer science.
For more details, please click on my research statement a few lines above.
Here is a list of my favorite open problems.
Publications & Preprints
- A counterexample to the Alon-Saks-Seymour conjecture and related problems (with B. Sudakov), to appear in Combinatorica.
- Bandwidth theorem for random graphs (with C. Lee and B. Sudakov), Journal of Combinatorial Theory, Series B 102 (2012), 14-37.
- Quasi-randomness of graph balanced cut properties (with C. Lee), Random Structures & Algorithms, DOI: 10.1002/rsa.20384.
- Nonnegative $k$-sums, fractional covers, and probability of small deviations (with N. Alon and B. Sudakov), Journal of Combinatorial Theory, Series B, 102 (2012), 784-796.
- Large matchings in uniform hypergraphs and the conjectures of Erdos and Samuels (with N. Alon, P. Frankl, V. Rodl, A. Rucinski, and B. Sudakov), Journal of Combinatorial Theory, Series A, 119 (2012), 1200-1215.
- The size of a hypergraph and its matching number (with P. Loh, B. Sudakov), Combinatorics, Probability and Computing, 21 (2012), 442-450.
- Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs (with J. Ma, A. Shapira, B. Sudakov, and R. Yuster), submitted.
- A problem of Erdos on the minimum number of k-cliques (with S. Das, J. Ma, H. Naves, and B. Sudakov), submitted.
Past and forthcoming presentations
- Combinatorics Seminar, University of Cambridge, May 2012
- Combinatorial Theory Seminar, University of Oxford, May 2012
- Combinatorics Seminar, Queen Mary, University of London, May 2012
- Combinatorics Seminar, Georgia Tech, Atlanta, Apr 2012
- Combinatorics Seminar, UCLA, Los Angeles, Feb 2012
- Combinatorics Seminar, UCSD, San Diego, Oct 2011
- Lake Arrowhead Reunion Conference, Jun 2011
- 15th International Conference on Random Structures and Algorithms, Emory University, May 2011
- Algebra/Number Theory/Combinatorics Seminar, Claremont Colleges, May 2011
- AMS Spring Western Section Meeting, UNLV, Las Vegas, May 2011
- Combinatorics Seminar, UCLA, Los Angeles, Apr 2011
- ACO Seminar, Carnegie Mellon University, Pittsburgh, Dec 2010
- AMS Fall Western Section Meeting, UCLA, Los Angeles, Oct 2010
- Discrete
Mathematics Seminar, Texas
State University, San Marcos, Jul 2010
- Combinatorics Seminar, UCSD, San Diego, May 2010
- Combinatorics
Seminar,
Teaching
- Math 133, Introduction to Fourier Analysis, Spring 2011
- Math 132, Complex Analysis for Applications, Winter 2011
- Math 180, Combinatorics, Fall 2010
- Math 133, Introduction to Fourier Analysis, Spring 2010
- Math 132, Complex Analysis for Applications, Winter 2010
- Math 132, Complex Analysis for Applications, Fall 2009
- Math 32A, Calculus for Several Variables, Spring 2008
- Math
113, Combinatorics, Winter 2008
Miscellaneous
- More information about me
- Pictures taken from my past trips
Useful Links
- Arxiv: [math.CO] [math.PR] [cs.CC]
- MathSciNet
- List of Combinatorics Journals
- Open Problem Garden
- MathOverflow
- Collection of useful online softwares
This webpage was last updated on Mar 3, 2011. For old version of my homepage, click here.