matthias beck

slides & videos

• The partial-fractions method for counting solutions to integral linear systems (MSRI Discrete & Computational Geometry Seminar, 11/3/03)
• Computing the continuous discretely: The magic quest for a volume (Universite Pierre et Marie Curie (Paris 6) Seminaire de Combinatoire Algebrique et Geometrique, 4/8/04; Technische Universität Berlin Discrete Mathematics Colloquium, 5/17/04; Universitat de Barcelona Mathematics Colloquium, 6/4/05; Universität Marburg Mathematics Colloquium, 6/14/05; Reed College Mathematics Colloquium, 12/2/04)
• Enumerating integer-points in polytopes: applications to number theory (Northwest Number Theory Conference, Simon Fraser University, 4/23/05; Mathfest, Knoxville, 8/10/06)
• The "coin-exchange problem" of Frobenius (Sonoma State University M*A*T*H Colloquium, 4/27/05; Mathfest short course "Recreational Mathematics in Teaching", 8/3/05)
• Vector-partition functions (Combinatorial & Additive Number Theory Conference, CUNY, 5/19/05; 16th International Conference of the Jangjeon Mathematical Society, Antalya, Turkey, 7/5/05)
• The enumeration of nowhere-zero integral flows in graphs (INTEGERS Conference, University of West Georgia, 10/27/05)
• Dedekind sums: a geometric viewpoint (Diophantine Analysis & Related Topics Conference, Keio University, Japan, 3/8/06; Mathfest, 8/10/06)
• Volume computations for polytopes: An invitation to Ehrhart theory (Undergraduate Connecticut Valley Colloquium, Amherst College, 5/9/06; Sonoma State Mathematics Colloquium, 12/1/10; Santa Clara University Mathematics Colloquium, 2/22/11))
• My favorite (mostly mathematical) comic strips (SF State Math Graduation, 5/26/06)
• Inside-out polytopes (AMS Session Geometric Combinatorics, Cincinnati, 10/22/06)
• Cyclotomic polytopes and growth series of cyclotomic lattices (AMS Session Algebraic & Analytic Combinatorics, University of Connecticut, 10/28/06)
• Matt's annual math comic strip (SF State Math Graduation, 5/25/07)
• Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra (AMS Session Combinatorial Enumeration, Optimization, Geometry, and Statistics, Murfreesboro, 11/3/07)
• Combinatorial reciprocity theorems (Oregon State University Mathematics Colloquium, 2/15/08; Claremont Colleges Mathematics Colloquium, 4/9/08; Tulane University Clifford Lectures, 3/25/10; Southern California-Nevada MAA Meeting, 10/15/11; Case Western Mathematics Colloquium, 2/17/12; Golden Section MAA Meeting, 2/25/12; UCLA Combinatorics Seminar, 3/1/12; George Mason Mathematics Colloquium, 8/29/14; KTH Combinatorics Seminar, 11/19/14; Universität Rostock Mathematics Colloquium, 12/3/14; Discrete Math Day of the Northeast, 3/28/15; Combinatexas, 2/10/18; Chico Mathematics Colloquium, 4/5/18; Japanese Conference on Combinatorics & Applications, 5/22/18; Magdeburg Mathematics Colloquium, 11/27/19)
• Math Circles (MSRI, 3/7/08)
• Asymptotics of Ehrhart series of lattice polytopes (Oberwolfach Workshop Discrete Geometry, 9/23/08; Unversity of Washington Combinatorics Seminar, 10/22/08; UC Berkeley Discrete Mathematics Seminar, 9/16/09)
• Grid graphs, Gorenstein polytopes, and domino stackings (AMS Session Experimental Mathematics, Joint Meetings, 1/5/09)
• Ten years BADGeometry: progress and open problems in Ehrhart theory (BADMath Day, MSRI, 10/16/10)
• Partition identities via polyhedral geometry (CMS Session Discrete Mathematics, Vancouver, 12/4/10; Mathfest Session Polyhedra Are Everywhere, Lexington, 8/5/11; Oberwolfach Workshop Discrete Geometry, 9/6/11; Claremont Algebra/Number Theory/Combinatorics Seminar, 12/3/13; TU Berlin SFB Discretization in Geometry & Dynamics Colloquium, 10/21/14; Universität Würzburg Number Theory Seminar, 12/18/14; Banach Center conference Cconvex, Discrete & Integral Geometry, 6/7/17)
• Euler-Mahonian statistics via polyhedral geometry (University of Kansas Algebra & Combinatorics Seminar, 2/13/12; MIT Combinatorics Seminar, 2/22/12; AMS Session Algebraic Combinatorics, Honolulu, 3/4/12; FU Berlin Discrete Math Seminar, 4/3/12; SIAM Minisymposium Symbolic Combinatorics, 8/2/13; SUNY Binghamton Combinatorics Seminar, 9/2/14; York University Applied Algebra Seminar, 3/9/15)
• Golomb rulers (UC Davis Discrete Math Seminar, 1/26/12; Fresno State Math Colloquium, 3/16/12; FU Berlin Monday Lecture, 10/21/13)
• Relations for Barnes zeta functions (AMS Session in memory of Marvin Knopp, 10/13/13)
• Parking functions & friends (Claremont McKenna College Atul Vyas Memorial Lecture in Mathematics, 12/3/13; George Mason CAG Seminar, 8/29/14; Swarthmore Mathematics Colloquium, 9/9/14; James Madison Mathematics Colloquium, 4/13/15)
• Growth series of cyclotomic and root lattices (Polyhedra, Lattices, Algebra, and Moments conference, IMS Singapore, 1/10/14; Cornell Discrete Geometry & Combinatorics Seminar, 9/15/14; Binghamton Combinatorics Seminar, 9/23/14)
• Very ample and Koszul segmental fibrations (AMS Session Geometric & Algebraic Combinatorics, Knoxville, 3/22/14; Philadelphia Area Combinatorics & Algebraic Geometry Seminar, 9/11/14; Polymake Workshop, 12/5/14)
• (Enumeration results for) Signed graphs (NIST Applied & Computational Mathematics Seminar, 8/28/14)
• Discrete volume computations for polyhedra (Discrete Geometry for Computer Imagery conference, Nantes, 4/19/16 [video]; ECCO 2016; Graduate Student Meeting on Applied Algebra & Combinatorics MPI Leipzig 2019)
• Partially magic labelings and the antimagic graph conjecture (Discrete Math Seminar, Iowa State, 3/7/17)
• (-5 choose 12) and other combinatorial reciprocity instances (Bay Area Math Olympiad Award Ceremony, MSRI, 3/12/17)
• Partitions with fixed differences between largest & smallest part (Frankfurt Discrete Mathematics Seminar 6/28/17; St. Petersburg State University & Euler International Mathematical Institute Number Theory Seminar, 9/24/20)
• Ehrhart polynomials of zonotopes (AMS Session Ehrhart Theory & Applications, Hunter College, 5/7/17; Berlin Monday Lectures, 6/12/17; MSRI 7/19/17 [video]; Algebra & Discrete Math Seminar, UC Davis, 1/10/18; Kent State Math Colloquium, 1/18/18; Japanese Conference on Combinatorics & Applications, 5/23/18)
• Lonely runner polyhedra (Berlin Monday Lectures, 6/17/19; KTH Combinatorics Seminar, 12/4/19; Queen Mary University of London Combinatorics Reading Groiup, 1/31/20; Würzburg Number Theory Seminar, 1/13/21; Claremont Colloquium, 11/8/23)
• Quasipolynomials in discrete geometry & combinatorial commutative algebra (Discrete Geometry with a view on Symplectic and Tropical Geometry 9/24/19; BUGCAT 11/2/19; MACIS 11/14/19)
• Facing up to Tom Zaslavsky: Making arrangements count (lattice points) (AMS special session in honor of Tom Zaslavsky's 75th birthday, 10/11/19)
• Weighted lattice point sums in lattice polytopes (Einstein Workshop on Polytopes and Algebraic Geometry FU Berlin, 12/2/19)
• The arithmetic of Coxeter permutahedra (Discrete Geometry Seminar FU Berlin, 4/9/20; DMV Annual Meeting 9/15/20; New York Number Theory Seminar 10/29/20 [video])
• Frobenius coin-exchange generating functions (Algebra-Geometry-Combinatorics Seminar SF State, 2/10/21)
• Classifying combinatorial polynomials [lecture 1, lecture 2, lecture 3, lecture 4, lecture 5] (REACT 2/15-19/21)
• Rational Ehrhart theory (Polytopics MPI Leipzig, 4/7/21; Washington University St. Louis Combinatorics Seminar, 9/20/22; Characteristic Polynomials of Hyperplane Arrangements and Ehrhart Polynomials of Convex Polytopes @ RIMS Kyoto, 2/15/23)
• The lonely runner (MoMath, 4/13/22 [video])
• Boundary h*-polynomials of rational polytopes (AIM, 5/11/22 [video])
• q-chromatic polynomials (AMS Session Recent Progress in Chromatic Graph Theory, 4/2/23; AlCoVE, 6/17/24 [video])
• Ehrhart polynomials (ECCO mini-course, 6/17-21/24)