June Huh's Home Page


I am a graduate student in the Department of Mathematics at University of Michigan.

I am broadly interested in the geometry, topology, and combinatorics of algebraic varieties, especially those related to singularities.

In Fall 2014, I will move to Institute for Advanced Study and Princeton University as a Clay Research Fellow and a Veblen Fellow.

Here is my CV.


Publications

- Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs,
Journal of the American Mathematical Society 25 (2012), 907-927.

- Log-concavity of characteristic polynomials and the Bergman fan of matroids (with Eric Katz),
Mathematische Annalen 354 (2012), 1103-1116.

- The maximum likelihood degree of a very affine variety,
Compositio Mathematica 149 (2013), 1245-1266.

- Milnor numbers of projective hypersurfaces with isolated singularities,
Duke Mathematical Journal 163 (2014), 1525-1548.

- Varieties with maximum likelihood degree one,
Journal of Algebraic Statistics 5 (2014), 1-17.

- Likelihood Geometry (with Bernd Sturmfels),
Combinatorial Algebraic Geometry, Lecture Notes in Mathematics 2108, Springer, 2014.

- Rota’s conjecture and positivity of algebraic cycles in permutohedral varieties,
University of Michigan, Thesis, 2014.

- Positivity of Chern classes of Schubert cells and varieties,
Journal of Algebraic Geometry, to appear.

- h-vectors of matroids and logarithmic concavity,
Advances in Mathematics, to appear.



Preprints

- A counterexample to the geometric Chevalley-Warning conjecture, preprint. arXiv.

- Correspondences between projective planes, preprint. arXiv.



Invited Talks and Seminars

- (August 2015) SIAM Conference on Applied Algebraic Geometry, NIMS and KAIST, Daejeon, Korea.

- (July 2015) Computational Geometric Topology in Arrangement Theory, Institute for Computational and Experimental Research in Mathematics, Providence.

- (July 2015) INdAM Italian-Korean Meeting on Algebraic Geometry, Cortona, Italia.

- (June 2015) Singular Landscapes, Centre Paul-Langevin, Aussois, France.

- (April 2015) IMPANGA 2015, Institute of Mathematics, Polish Academy of Sciences, Bedlewo, Poland.

- (April 2015) Department Colloquium, University of Michigan, Ann Arbor.

- (February 2015) Local and Global Invariants of Singularities, CIRM, Luminy, France.

- (February 2015) Nonarchimedean and Tropical Geometry, Simons Symposia, Puerto Rico.

- (December 2014) Algebraic Geometry Seminar, Stony Brook University.

- (November 2014) Department Colloquium, Rice University.

- (September 2014) Algebraic Geometry Seminar, Princeton University and Institute for Advanced Study.

- (July 2014) The 13th International Workshop on Real and Complex Singularities, São Carlos, Brazil.

- (June 2014) The 26th International Conference on Formal Power Series and Algebraic Combinatorics, Chicago.

- (June 2014) Optimization and Algebraic Geometry, NIMS, Daejeon, Korea.

- (May 2014) Workshop on Okounkov Bodies and Applications, Mathematical Research Institute of Oberwolfach, Germany.

- (May 2014) Algebraic Geometry Seminar, Stanford University.

- (May 2014) Department Colloquium, University of California, Berkeley.

- (April 2014) Algebraic Geometry Seminar, University of California, Davis.

- (April 2014) Hyperplane Arrangements, Wonderful Compactifications, and Tropicalization, Banff International Research Station, Canada.

- (April 2014) Warwick EPSRC Symposium on Statistical Mechanics: Combinatorics and Statistical Mechanics, University of Warwick.

- (March 2014) Geometry Seminar, Texas A&M University.

- (March 2014) Combinatorics Seminar, University of Washington.

- (March 2014) Algebraic Geometry Seminar, Columbia University.

- (March 2014) Discrete Mathematics Seminar, Princeton University.

- (March 2014) Algebraic Geometry Seminar, Princeton University.

- (January 2014) Computational Algebraic Statistics, Theories and Applications, Kyoto, Japan.

- (January 2014) Workshop on Combinatorics, Mathematical Research Institute of Oberwolfach, Germany.

- (November 2013) Singularity Theory Seminar, Institut de Mathématiques de Luminy.

- (November 2013) Algebraic Geometry Seminar, École polytechnique fédérale de Lausanne.

- (November 2013) Algebraic Geometry Seminar, Freie Universität Berlin.

- (November 2013) Algebraic Geometry Seminar, Goethe Universität Frankfurt am Main.

- (November 2013) Computational Algebraic Geometry Seminar, Max Planck Institute of Mathematics, Bonn, Germany.

- (November 2013) Hyperplane Arrangements and Characteristic Classes, RIMS, Kyoto, Japan.

- (November 2013) Intercity Number Theory Seminar, Technische Universiteit Eindhoven.

- (November 2013) Department Colloquium, Yale University.

- (October 2013) Algebra Seminar, Università degli Studi di Genova.

- (October 2013) Algebra and Combinatorics Seminar, Sapienza Università di Rome.

- (October 2013) Algebra, Combinatorics, and Topology Seminar, Università di Pisa.

- (September 2013) Combinatorial Methods in Topology and Algebra 2013, Cortona, Italia.

- (September 2013) Tropical Aspects in Geometry and Topology, Max Planck Institute of Mathematics, Bonn, Germany.

- (August 2013) Computational Algebraic Geometry Seminar, Max Planck Institute of Mathematics, Bonn, Germany.

- (August 2013) Algebraic Geometry Seminar, Seoul National University.

- (July 2013) Algebraic Geometry Seminar, Hokkaido University.

- (June 2013) Geometry and Topology of Arrangement of Hypersurfaces, Joint International Meeting of the AMS and the RMS, Alba Iulia, Romania.

- (June 2013) Inaugural Conference, IBS Center for Geometry and Physics, Pohang, Korea.

- (May 2013) Algebraic Geometry Seminar, KAIST.

- (May 2013) Discrete Mathematics Seminar, KAIST.

- (April 2013) Algebra and Combinatorics Seminar, Georgia Institute of Technology.

- (March 2013) Algebra Seminar, Virginia Tech University.

- (March 2013) Combinatorics and Optimization Seminar, University of Waterloo.

- (March 2013) Algebraic Geometry Seminar, KAIST.

- (February 2013) Symposium on Projective Algebraic Varieties and Moduli, Yeosu, Korea.

- (January 2013) Tropical Geometry, AMS Joint Mathematics Meetings 2013, San Diego.

- (December 2012) Combinatorial Commutative Algebra and Applications, MSRI.

- (October 2012) Toric Algebraic Geometry and Beyond, AMS Central Fall Section Meeting, University of Akron.

- (October 2012) Algebraic and Topological Combinatorics, AMS Fall Southeastern Section Meeting, Tulane University.

- (September 2012) Algebraic and Tropical Geometry Seminar, Yale University.

- (July 2012) Algebraic Geometry Seminar, Sogang University.

- (July 2012) Third Workshop on Graphs and Matroids, Maastricht, Netherlands.

- (May 2012) Algebraic Geometry Seminar, POSTECH.

- (May 2012) Department Colloquium, POSTECH.

- (March 2012) Combinatorics Seminar, University of California, Davis.

- (March 2012) Combinatorics Seminar, San Francisco State University.

- (March 2012) Combinatorics Seminar, University of California, Berkeley.

- (February 2012) Postdoc Algebraic Geometry Seminar, University of Michigan at Ann Arbor.

- (October 2011) Combinatorics Seminar, MIT.

- (October 2011) Algebra and Combinatorics Seminar, Texas A&M University.

- (September 2011) Algebraic and Geometric Aspects of Matroids, AMS Fall Southeastern Section Meeting, Wake Forest University.

- (September 2011) Combinatroial Algebraic Geometry, AMS Fall Southeastern Section Meeting, Wake Forest University.

- (August 2011) New Developments in Newton-Okounkov Bodies, Mathematical Research Institute of Oberwolfach, Germany.

- (July 2011) Discrete Mathematics Seminar, KAIST.

- (June 2011) Invited Lectures, Seoul National University.

- (February 2011) Algebraic Geometry Seminar, University of Michigan at Ann Arbor.

- (January 2011) Algebra, Geometry, and Combinatorics Seminar, University of Illinois at Urbana-Champaign.

- (January 2011) Combinatorial Algebraic Geometry, AMS Joint Mathematics Meetings 2011, New Orleans.

- (December 2010) Algebraic Geometry Seminar, Seoul National University.

- (December 2010) Combinatorics Seminar, University of Michigan at Ann Arbor.

- (October 2010) Combinatorics Seminar, University of Minnesota at Twin Cities.

- (October 2010) Midwest Algebraic Geometry Conference, University of Wisconsin at Madison.

- (October 2010) REGS day, University of Illinois at Urbana-Champaign.

- (July 2010) Discrete Mathematics Seminar, KAIST.

- (June 2010) NIMS-SNU Algebra Camp, Sol Beach Resort, Yangyang, Korea.

- (June 2010) Invited Lectures, Seoul National University.

- (April 2010) Commutative Algebra Seminar, University of Illinois at Urbana-Champaign.