June Huh's Home Page
I am a mathematician at
Institute for Advanced Study
.
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
3
(2018), 3079-3098.
-
Hodge theory for combinatorial geometries
(with
Karim Adiprasito
and
Eric Katz
),
Annals of Mathematics
188
(2018), 381-452.
-
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.
-
Hodge theory of matroids
(with
Karim Adiprasito
and
Eric Katz
),
Notices of the American Mathematical Society
64
(2017), 26-30.
-
Lefschetz classes on projective varieties
(with
Botong Wang
),
Proceedings of the American Mathematical Society
145
(2017), 4629-4637.
-
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
-
Logarithmic concavity of Schur and related polynomials
, (with
Jacob Matherne
,
Karola Mészáros
, and
Avery St. Dizier
), preprint.
-
Logarithmic concavity for morphisms of matroids
, (with
Christopher Eur
), preprint.
-
Lorentzian polynomials
, (with
Petter Brändén
), preprint.
-
Hodge-Riemann relations for Potts model partition functions
, (with
Petter Brändén
), preprint.
-
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
, Bogotá, Colombia.
- (May 2020)
Open Problems in Algebraic Combinatorics
, University of Minnesota, Twin Cities.
- (May 2020)
Chow Lectures
, Max Planck Institute for Mathematics in Sciences, Leipzig, Germany.
- (March 2020)
Unimodality, Log-concavity, and Beyond
, Institut Mittag-Leffler, Sweden.
- (October 2019)
Simon Marais Lectures
, University of Sydney, Australia.
- (October 2019)
Facets of Algebraic Geometry (Fulton 80)
, University of Michigan, Ann Arbor.
- (July 2019)
Algebraic Geometry Seminar
, KAIST, Korea.
- (April 2019)
Simons Lectures in Mathematics
, MIT.
- (April 2019)
Algebra and Number Theory Day
, Johns Hopkins University.
- (March 2019)
Department Colloquium
, University of Tennessee.
- (March 2019)
Simons Collaboration on Algorithms and Geometry Meeting
, Simons Foundation.
- (March 2019)
AMS Graduate Student Chapter Colloquium
, University of Nebraska-Lincoln.
- (March 2019)
Commutative Algebra Seminar
, University of Nebraska-Lincoln.
- (February 2019)
Department Colloquium
, Harvard University.
- (February 2019)
Theoretical Computer Science and Discrete Mathematics Seminar
, Institute for Advanced Study.
- (February 2019)
Beyond Randomized Rounding and the Probabilistic Method
, Simons Institute for the Theory of Computing.
- (November 2018)
Number Theory Seminar
, Duke University.
- (November 2018)
Mathematical Conversations
, Institute for Advanced Study.
- (October 2018)
Distinguished Lecture Series
, Stanford University.
- (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.