June Huh's Home Page
I am a mathematician at
Princeton University
. Previously, I was at
Stanford University
and
Institute for Advanced Study
.
During summer, I can be found at
Korea Institute for Advanced Study
. Here is my
Curriculum Vitae
.
Publications

Combinatorics and Hodge theory
,
Proceedings of the International Congress of Mathematicians
1
(2022).

Lagrangian geometry of matroids
(with
Federico Ardila
and
Graham Denham
),
Journal of the American Mathematical Society, https://doi.org/10.1090/jams/1009.

Logarithmic concavity of Schur and related polynomials
(with
Jacob Matherne
,
Karola Mészáros
, and
Avery St. Dizier
),
Transactions of the American Mathematical Society
375
(2022), 4411–4427.

A semismall decomposition of the Chow ring of a matroid
(with
Tom Braden
,
Jacob Matherne
,
Nick Proudfoot
, and
Botong Wang
),
Advances in Mathematics
409
(2022), 108646.

Correlation bounds for fields and matroids
(with
Benjamin Schröter
and
Botong Wang
),
Journal of the European Mathematical Society
24
(2022), 1335–1351.

Lorentzian polynomials
(with
Petter Brändén
),
Annals of Mathematics
192
(2020), 821–891.

Logarithmic concavity for morphisms of matroids
(with
Christopher Eur
),
Advances in Mathematics
367
(2020), 107094.

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.

hvectors 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.

Logconcavity 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

Stellahedral geometry of matroids
(with
Christopher Eur
and
Matt Larson
),
arXiv preprint.

The Bergman fan of a polymatroid
(with
Colin Crowley
,
Matt Larson
,
Connor Simpson
, and
Botong Wang
),
arXiv preprint.

Singular Hodge theory for combinatorial geometries
(with
Tom Braden
,
Jacob Matherne
,
Nick Proudfoot
, and
Botong Wang
),
arXiv preprint.

Lagrangian combinatorics of matroids
(with
Federico Ardila
and
Graham Denham
),
arXiv preprint.

HodgeRiemann relations for Potts model partition functions
(with
Petter Brändén
),
arXiv preprint.

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

Correspondences between projective planes
,
arXiv preprint.
Talks
 (July 2025) Mathematical Congress of the Americas, Miami.
 (September 2024) Ziwet Lectures, University of Michigan.
 (October 2023) Chow Lectures, Max Planck Institute for Mathematics, Leipzig.
 (January 2023)
Matroids  Combinatorics, Algebra and Geometry Seminar
, Fields Institute, Online.
 (December 2022) Combinatorial Algebraic Geometry, BrainLink, Incheon, Online.
 (November 2022)
Conversation
, KSEA, Online.
 (November 2022) Postech Fields Medal Open Lectures, Pohang University of Science and Technology, Online.
 (October 2022)
Global KMS International Conference
, Online.
 (October 2022)
Cascade Lectures in Combinatorics
, Online.
 (August 2022) Commencement, Seoul National University.
 (August 2022)
Korea Science Festival
, Seoul.
 (August 2022)
Conversation
, KAIST.
 (August 2022)
KAST Science Camp
, Deajeon.
 (July 2022)
Colloquium
, Seoul National University.
 (July 2022)
Public Lecture
, Korea Institute for Advanced Study.
 (July 2022)
International Congress of Mathematicians
, Helsinki.
 (June 2022)
Combinatorial, Computational, and Applied Algebraic Geometry (Sturmfels 60)
, University of Washington.
 (May 2022)
Göran Gustafsson Lectures in Mathematics
, Institute MittagLeffler, Stockholm.
 (May 2022)
Open Problems in Algebraic Combinatorics
, University of Minnesota.
 (March 2022)
Department Colloquium
, Stony Brook University.
 (March 2022)
Algebraic Geometry Seminar
, Stony Brook University.
 (February 2022)
CRC Colloquium
, Goethe University Frankfurt, Online.
 (December 2021)
Math Club
, Princeton University.
 (November 2021)
Faces of Singularity Theory
, CIRM, Luminy.
 (October 2021)
Ppositivity in matroid theory and related topics
, Research Institute for Mathematical Sciences, Online.
 (September 2021)
Department Colloquium
, Princeton University.
 (September 2021)
Zoom Algebraic Geometry Seminar
, Online.
 (September 2021)
Algebraic Geometry Seminar
, Princeton University.
 (May 2021)
Department Colloquium
, Sungshin Women's University.
 (May 2021)
Department Colloquium
, Seoul National University.
 (May 2021)
Networking Seminar
, Innovation Center for Industrial Mathematics, National Institute for Mathematical Sciences.
 (May 2021)
Department Colloquium
, Korea Institute for Advanced Study.
 (April 2021)
KIAS Plenary Lecture
, Korean Mathematical Society Spring Meeting.
 (April 2021)
Department Colloquium
, Yonsei University.
 (April 2021)
Algebraic Geometry and Polyhedra
, Institute for Computational and Experimental Research in Mathematics.
 (March 2021)
Recent Developments in Hodge Theory
, Institute for Mathematical Sciences in the Americas.
 (November 2020)
Gongju Algebraic Geometry Workshop
, Gongju.
 (November 2020)
Department Colloquium
, Suzhou University.
 (August 2020)
Discrete Mathematics Seminar
, Institute for Basic Science, Daejeon.
 (July 2020)
KIAS Workshop on Combinatorial Problems of Algebraic Origin
, Korea Institute for Advanced Study.
 (March 2020)
Abraham Robinson Memorial Lectures
, Yale University.
 (January 2020)
Department Colloquium
, Dartmouth College.
 (January 2020)
Department Colloquium
, Georgia Institute of Technology.
 (November 2019)
Geometry and Topology Seminar
, University of Sydney.
 (November 2019)
Department Colloquium
, University of Sydney.
 (November 2019)
Simon Marais Memorial Lectures
, University of Sydney.
 (October 2019)
Facets of Algebraic Geometry (Fulton 80)
, University of Michigan, Ann Arbor.
 (October 2019)
Members’ Seminar
, Institute for Advanced Study.
 (July 2019)
Algebraic Geometry Seminar
, KAIST.
 (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 NebraskaLincoln.
 (March 2019)
Commutative Algebra Seminar
, University of NebraskaLincoln.
 (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, Luminy.
 (August 2018)
International Congress of Mathematicians
, Rio de Janeiro.
 (June 2018)
Combinatorics and Hodge Theory
, Nordfjordeid Summer School 2018, Nordfjordeid.
 (May 2018)
Andrzej Jankowski Memorial Lecture
, University of Gdańsk.
 (April 2018)
Tropical Geometry and Amoebas in Higher Dimension
, KTH Royal Institute of Technology.
 (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.
 (November 2017)
BerlinLeipzig 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.
 (July 2017)
Math League
, College of New Jersey.
 (July 2017)
Department Colloquium
, Korea Institute for Advanced Study.
 (July 2017)
Algebraic Geometry Seminar
, IBS Center for Geometry and Physics.
 (July 2017)
Algebraic Geometry Seminar
, POSTECH.
 (July 2017)
Discrete Mathematics Seminar
, KAIST.
 (June 2017)
Hyperplane Arrangements and Singularities
, Korea Institute for Advanced Study.
 (June 2017)
MEGA 2017: Effective Methods in Algebraic Geometry
, Sophia Antipolis University, Nice.
 (June 2017)
Arrangements and beyond: Combinatorics, Geometry, Topology, and Applications
, Centro De Giorgi, Pisa.
 (May 2017)
Nonarchimedean and Tropical Geometry
, Simons Symposia, Schloss Elmau.
 (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.
 (December 2016)
11th BelgianDutch Algebraic Geometry Day
, Amsterdam.
 (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.
 (August 2016)
The First Joint Meeting BrazilItaly in Mathematics
, Rio de Janeiro.
 (August 2016)
Summer Conference on Hyperplane Arrangements
, Hokkaido University, Sapporo.
 (July 2016)
Summer School in Combinatorial Algebraic Geometry
, Fields Institute for Research in Mathematical Sciences, Toronto.
 (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.
 (March 2016)
Topology and Combinatorics of Arrangements
, AMS Spring Eastern Sectional Meeting, Stony Brook University.
 (February 2016)
AlgebraNumber Theory Seminar
, University of Maryland.
 (February 2016)
Undergraduate Math Colloquium
, Princeton University.
 (January 2016)
Borel Seminar
, Les Diablerets.
 (January 2016)
Combinatorial Algebra Meets Algebraic Combinatorics
, London, Ontario.
 (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.
 (August 2015)
Maximum Likelihood Degrees and Critical Points
, NIMS and KAIST, Daejeon.
 (August 2015)
Geometry and Topology of Amoebas and Beyond
, NIMS and KAIST, Daejeon.
 (July 2015)
Algebraic Geometry Seminar
, RIMS, Kyoto.
 (July 2015)
Computational Geometric Topology in Arrangement Theory
, Institute for Computational and Experimental Research in Mathematics, Providence.
 (July 2015)
INdAM ItalianKorean Meeting on Algebraic Geometry
, Cortona.
 (June 2015)
Singular Landscapes
, Centre PaulLangevin, Aussois.
 (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.
 (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.
 (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.
 (June 2014)
The 26th International Conference on Formal Power Series and Algebraic Combinatorics
, Chicago.
 (June 2014)
Optimization and Algebraic Geometry
, NIMS, Daejeon.
 (May 2014)
Okounkov Bodies and Applications
, Mathematical Research Institute of Oberwolfach.
 (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.
 (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.
 (January 2014)
Combinatorics
, Mathematical Research Institute of Oberwolfach.
 (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.
 (November 2013)
Hyperplane Arrangements and Characteristic Classes
, RIMS, Kyoto.
 (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.
 (September 2013)
Tropical Aspects in Geometry and Topology
, Max Planck Institute of Mathematics, Bonn.
 (August 2013)
Computational Algebraic Geometry Seminar
, Max Planck Institute of Mathematics, Bonn.
 (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.
 (June 2013)
Inaugural Conference
, IBS Center for Geometry and Physics, Pohang.
 (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.
 (January 2013)
Tropical Geometry
, AMS Joint Mathematics Meetings 2013, San Diego.