June Huh's Home Page



I am a mathematician at Institute for Advanced Study and Princeton University.

I am broadly interested in the geometry, topology, and combinatorics of algebraic varieties.

Here is my Curriculum Vitae.


Publications
- Combinatorial applications of the Hodge-Riemann relations,
Proceedings of the International Congress of Mathematicians 2018, to appear.

- Hodge theory for combinatorial geometries (with Karim Adiprasito and Eric Katz),
Annals of Mathematics 188 (2018), to appear.

- Tropical geometry of matroids,
Current Developments in Mathematics 2016, 1-46, International Press, 2018.

- Enumeration of points, lines, planes, etc. (with Botong Wang),
Acta Mathematica 218 (2017), 297-317.

- A tropical approach to a generalized Hodge conjecture for positive currents (with Farhad Babaee),
Duke Mathematical Journal 166 (2017), 2749-2813.

- Lefschetz classes on projective varieties (with Botong Wang),
Proceedings of the American Mathematical Society 145 (2017), 4629-4637.

- Hodge theory of matroids (with Karim Adiprasito and Eric Katz),
Notices of the American Mathematical Society 64 (2017), 26-30.

- Positivity of Chern classes of Schubert cells and varieties,
Journal of Algebraic Geometry 25 (2016), 177-199.

- h-vectors of matroids and logarithmic concavity,
Advances in Mathematics 270 (2015), 49-59.

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

- Likelihood Geometry (with Bernd Sturmfels),
Combinatorial Algebraic Geometry, 63-117, Lecture Notes in Mathematics 2108, Springer, 2014.

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

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

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

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


Preprints
- Correlation bounds for fields and matroids, (with Benjamin Schröter and Botong Wang), preprint.

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

- Correspondences between projective planes, preprint.


Talks
- (June 2020) Encuentro Colombiano de Combinatoria, Bogota, Colombia.

- (May 2020) Open Problems in Algebraic Combinatorics, University of Minnesota, Twin Cities.

- (August 2019) Geometric, Algebraic, and Topological Combinatorics, Mathematical Research Institute of Oberwolfach, Germany.

- (April 2019) Simons Lectures in Mathematics, MIT.

- (February 2019) Beyond Randomized Rounding and the Probabilistic Method, Simons Institute for the Theory of Computing.

- (October 2018) Cohomology of Algebraic Varieties, CIRM, France.

- (August 2018) International Congress of Mathematicians, Rio de Janeiro, Brazil.

- (June 2018) Combinatorics and Hodge Theory, Nordfjordeid Summer School 2018, Nordfjordeid, Norway.

- (May 2018) Andrzej Jankowski Memorial Lecture, University of Gdańsk, Poland.

- (April 2018) Tropical Geometry and Amoebas in Higher Dimension, KTH Royal Institute of Technology, Sweden.

- (April 2018) AGNES 2018, Rutgers University.

- (April 2018) Texas Algebraic Geometry Symposium, Texas A&M University.

- (March 2018) Members’ Seminar, Institute for Advanced Study.

- (March 2018) Department Colloquium, Indiana University.

- (March 2018) AMS Central Sectional Meeting, Ohio State University.

- (March 2018) Algebraic Geometry Seminar, Princeton University.

- (February 2018) Georgia Algebraic Geometry Symposium, Georgia Institute of Technology.

- (December 2017) Department Colloquium, Rutgers University.

- (December 2017) 75 Years of Mathematics in Mexico, UNAM, Mexico.

- (November 2017) Berlin-Leipzig Seminar on Algebra, Geometry, and Combinatorics, Freie Universität Berlin.

- (October 2017) Geometric and topological combinatorics: Modern techniques and methods, MSRI.

- (September 2017) Algebraic Geometry Seminar, University of Michigan, Ann Arbor.

- (September 2017) Instruments of Algebraic Geometry, Bucharest, Romania.

- (July 2017) Math League, College of New Jersey.

- (July 2017) Department Colloquium, Korea Institute for Advanced Study, Korea.

- (July 2017) Algebraic Geometry Seminar, IBS Center for Geometry and Physics, Korea.

- (July 2017) Algebraic Geometry Seminar, POSTECH, Korea.

- (July 2017) Discrete Mathematics Seminar, KAIST, Korea.

- (June 2017) Hyperplane Arrangements and Singularities, Korea Institute for Advanced Study, Korea.

- (June 2017) MEGA 2017: Effective Methods in Algebraic Geometry, Sophia Antipolis University, Nice, France.

- (June 2017) Arrangements and beyond: Combinatorics, Geometry, Topology, and Applications, Centro De Giorgi, Pisa, Italy.

- (May 2017) Nonarchimedean and Tropical Geometry, Simons Symposia, Schloss Elmau, Germany.

- (April 2017) Discrete Mathematics Seminar, Princeton University.

- (March 2017) Discrete Mathematics Seminar, Rutgers University.

- (December 2016) Asymptotic Phenomena in Local Algebra and Singularity, Mathematical Research Institute of Oberwolfach, Germany.

- (December 2016) 11th Belgian-Dutch Algebraic Geometry Day, Amsterdam, Netherlands.

- (December 2016) Mathematical Conversations, Institute for Advanced Study.

- (November 2016) Topology and Geometry in a Discrete Setting, Institute for Computational and Experimental Research in Mathematics, Providence.

- (November 2016) Current Developments in Mathematics, Harvard University.

- (November 2016) Algebraic Geometry Seminar, Columbia University.

- (October 2016) Department Colloquium, Cornell University.

- (October 2016) Convexity in Algebraic Geometry, Fields Institute for Research in Mathematical Sciences, Toronto, Canada.

- (August 2016) The First Joint Meeting Brazil-Italy in Mathematics, Rio de Janeiro, Brazil.

- (August 2016) Summer Conference on Hyperplane Arrangements, Hokkaido University, Sapporo, Japan.

- (July 2016) Summer School in Combinatorial Algebraic Geometry, Fields Institute for Research in Mathematical Sciences, Toronto, Canada.

- (June 2016) Erdős Lectures in Discrete Mathematics and Theoretical Computer Science, Hebrew University of Jerusalem.

- (June 2016) Algebraic Geometry Seminar, Korea Institute for Advanced Study.

- (June 2016) Department Colloquium, Yonsei University.

- (April 2016) Department Colloquium, Cornell University.

- (April 2016) Department Colloquium, University of Washington.

- (April 2016) Combinatorics Seminar, University of Washington.

- (April 2016) Geometry, Algebra, Singularities, and Combinatorics, Northeastern University.

- (April 2016) Department Colloquium, Northeastern University.

- (March 2016) Toric Geometry, Mathematical Research Institute of Oberwolfach, Germany.

- (March 2016) Topology and Combinatorics of Arrangements, AMS Spring Eastern Sectional Meeting, Stony Brook University.

- (February 2016) Algebra-Number Theory Seminar, University of Maryland.

- (February 2016) Undergraduate Math Colloquium, Princeton University.

- (January 2016) Borel Seminar, Les Diablerets, Switzerland.

- (January 2016) Combinatorial Algebra Meets Algebraic Combinatorics, London, Ontario, Canada.

- (January 2016) Hodge theory in combinatorics, Georgia Institute of Technology.

- (January 2016) Combinatorics Seminar, Georgia Institute of Technology.

- (December 2015) BATMOBYLE, Biannual Algebraic Tropical Meetings of Brown and Yale, Yale University.

- (December 2015) Valley Geometry Seminar, University of Massachusetts Amherst.

- (November 2015) Modern Schubert Calculus, AMS Fall Eastern Sectional Meeting, Rutgers University.

- (November 2015) Members’ Seminar, Institute for Advanced Study.

- (October 2015) Combinatorial and Experimental Methods in Commutative Algebra and Related Fields, Osnabrück, Germany.

- (August 2015) Positivity in Combinatorial Algebraic Geometry, University of Oregon.

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

- (August 2015) Maximum Likelihood Degrees and Critical Points, NIMS and KAIST, Daejeon, Korea.

- (August 2015) Geometry and Topology of Amoebas and Beyond, NIMS and KAIST, Daejeon, Korea.

- (July 2015) Algebraic Geometry Seminar, RIMS, Kyoto, Japan.

- (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, Italy.

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

- (May 2015) Women and Mathematics 2015, Princeton University.

- (May 2015) Harvard/MIT Algebraic Geometry Seminar, Harvard University.

- (April 2015) Discrete Mathematics Seminar, Rutgers University.

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

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

- (March 2015) Members’ Seminar, Institute for Advanced Study.

- (March 2015) AGNES 2015, Boston College.

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

- (February 2015) Computer Science and Discrete Mathematics Seminar, Institute for Advanced Study.

- (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) Topology of Algebraic Varieties, 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) 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) Combinatorics, Mathematical Research Institute of Oberwolfach, Germany.

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

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

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

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

- (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, Netherlands.

- (November 2013) Department Colloquium, Yale University.

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

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

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

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

- (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, Korea.

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

- (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, Korea.

- (May 2013) Discrete Mathematics Seminar, KAIST, Korea.

- (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, Korea.

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

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