Combinatorial and Computational Geometry Reunion Conference II

December 11 - 16, 2016


Monday, December 12, 2016

9:00 - 9:45 Natan Rubin (Ben-Gurion University of the Negev)

An optimistic story of non-algebraic curves: Tangencies, Lenses, and a new Crossing Lemma

10:05 - 10:25 Benjamin Lund (Rutgers University)

Number of flats spanned by a set of points

10:40 - 11:25 Janos Pach (École Polytechnique Fédérale de Lausanne (EPFL))

Crossing numbers vs. Rectilinear crossing numbers

2:00 - 2:20 Nathan Kaplan (University of California, Irvine (UCI))

Counting 10-arcs in the Projective Plane

2:30 - 3:15 Igor Pak (University of California, Los Angeles (UCLA))

Counting integer points in polytopes

3:30 - 3:50 Mark Lewko (Promontory Financial Group)

GCD sums and applications

5:00 - 6:00 René Carmona (Princeton University)

Mean Field Games (Iris)

8:00 - 9:00 Igor Pak (University of California, Los Angeles (UCLA))

Order and Chaos in Geometry and Number Theory


Tuesday, December 13, 2016

9:00 - 9:45 Saugata Basu (Purdue University)

Generalizations of polynomial partitioning

10:05 - 10:25 Ruixiang Zhang (Princeton University)

A proof of the multijoints conjecture

10:40 - 11:25 Boris Bukh (Carnegie-Mellon University)

Equiangular lines and ranks of matrices with few distinct entries

8:00 - 9:00 Alexandre Tkatchenko (University of Luxembourg)

Long-range quantum interactions: from atoms to galaxies (Iris)


Wednesday, December 14, 2016

9:00 - 9:45 Oliver Roche-Newton (Wuhan University)

Superquadratic expanders

10:05 - 10:25 Hong Wang (Massachusetts Institute of Technology)

Restriction on random cantor set

10:40 - 11:25 Joshua Zahl (University of British Columbia)

Some new tri-linear estimates for a Kakeya-type problem in R^4

2:00 - 2:20 Kaloyan Slavov (ETH Zurich)

An application of random plane slicing to counting F_q-points on hypersurfaces

2:30 - 2:50 Terence Tao (University of California, Los Angeles (UCLA))

Recent developments on the cap set problem

8:00 - 9:00 Nathan Kaplan (University of California, Irvine (UCI))

No-Three-In-Line, Intransitive Dice, and Other Amusements in Mathematics (Iris)


Thursday, December 15, 2016

9:00 - 9:45 Abdul Basit (Rutgers University New Brunswick/Piscataway)

On the number of ordinary lines determined by sets in complex space

10:05 - 10:25 Imre Barany (Renyi Institute of Mathematics)

Topology of the geometric join

10:40 - 11:25 Misha Rudnev (University of Bristol)

Point-plane incidence theorem and some applications


Friday, December 16, 2016

9:00 - 9:45 Frank de Zeeuw (École Polytechnique Fédérale de Lausanne (EPFL))

An improved Szemerédi-Trotter bound over arbitrary fields

10:05 - 10:25 Csaba Toth (California State University, Northridge (CSU Northridge))

Weakly simple polygons: recognition and reconstruction

10:40 - 11:25 Brandon Hanson (University of Toronto)

Extremal grids in combintorial geometry

Please consult the webpage or touch-screen monitor in IPAM's lobby for the latest version