On June 27, 2022, Ben Lund from the IBS Discrete Mathematics Group gave a talk at the Discrete Math Seminar on a large set of points with small radial projections in a vector space over a finite field. The title of his talk was “Radial projections in finite space“.

## Ben Lund gave a talk on the threshold function for a random subset of a finite vector space to have certain intersection properties with all m-dimensional affine subspaces at the Discrete Math Seminar

On March 28, 2022, Ben Lund from the IBS Discrete Mathematics Group gave a talk at the Discrete Math Seminar on the threshold function for a random subset of a finite vector space to have certain intersection properties with all m-dimensional affine subspaces at the Discrete Math Seminar. The title of his talk was “Thresholds for incidence properties in finite vector spaces“.

## Ben Lund gave a talk on the smallest size of maximal 3-wise intersecting families of sets at the Discrete Math Seminar

On November 2, 2021, Ben Lund from IBS Discrete Mathematics Group gave a talk on the smallest possible size of a maximal 3-wise intersecting family of subsets of {1,2,…,n} for large n, answering a problem of Erdős and Kleitman proposed in 1974. The title of his talk was “Maximal 3-wise intersecting families“.

## Ben Lund gave a talk on the existence of a limit shape for lattice zonotopes at the Discrete Math Seminar

On May 25, 2021, Ben Lund from the IBS Discrete Mathematics Group gave a talk at the Discrete Math Seminar on the existence of a limit shape for lattice zonotopes in all dimensions and other relevant results. The title of his talk was “Limit shape of lattice Zonotopes”.

## Ben Lund gave a talk on an interesting property of perfect matchings in a bipartite graphs at the Discrete Math Seminar

On January 19, 2021, Ben Lund from the IBS Discrete Mathematics Group presented his result with Matija Bucic, Pat Devlin, Mo Hendon, and Dru Horne showing that each perfect matching in a bipartite graph intersects at least half of all perfect matchings. The title of his talk was “Perfect matchings and derangements on graphs“.

## Ben Lund gave a talk on the generalization of Beck’s theorem on the number of incidences between points and lines at the Discrete Math Seminar

On August 25, 2020, Ben Lund from IBS Discrete Mathematics Group presented a talk on his generalization of Beck’s theorem resulting lower bounds on the number of planes spanned by a set of points and its various applications. The title of his talk was “Point-plane incidence bounds“.

## Welcome Ben Lund and Tuan Tran, new research fellows in the IBS Discrete Mathematics Group

The IBS discrete mathematics group welcomes Dr. **Ben Lund** and Dr. **Tuan Tran**, new research fellows at the IBS discrete mathematics group from August 1, 2020.

**Ben Lund** received his Ph.D. from the Department of Mathematics at Rutgers University in 2017 under the supervision of Prof. Shubhangi Saraf. Before joining the IBS, he was a postdoc at Princeton University and a postdoc at the University of Georgia.

**Tuan Tran** received his Ph.D. from the Department of Mathematics at the Freie Universität Berlin in 2015 under the supervision of Prof. Tibor Szabó. Before joining the IBS, he was a lecturer at Hanoi University of Science and Technology, a postdoc at ETH Zürich, and a postdoc at Czech Academy of Sciences. He won the IBS Young Scientist Fellowship.

## Ben Lund gave a talk on the problem on Furstenberg sets over field fields related to the Kakeya conjecture at the discrete math seminar

On January 15, 2020, Ben Lund from Princeton University gave a talk about a generalization of the Kakeya conjecture posed by Ellenberg, Oberlin, and Tao. The title of his talk was “Furstenberg sets over finite fields“. He is visiting the IBS discrete mathematics group until January 21, Tuesday.