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  • Prof. Jack Wesley

    Humanities Auditorium, Scripps College, and Zoom Claremont, CA, United States

    Speaker: Jack Wesley, Department of Mathematics, UC Davis

  • On discrete subgroups of Euclidean spaces (Lenny Fukshansky, CMC)

    Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

    Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […]

  • GEMS December 3rd Session

    Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

  • Positive semigroups in lattices and totally real number fields (Lenny Fukshansky, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Let  L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases, and each of them spans a conical semigroup S(X) consisting of all nonnegative […]

  • Biquandle arrow weights (Sam Nelson, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will use Gauss diagrams to enhance the biquandle counting invariant for classical and virual knots using biquandle arrow weights, a new algebraic structure without a clear […]

  • Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (Prof. Joan Ponce, Arizona State University)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City Speaker: Joan Ponce, Department of Mathematics, Arizona State University Abstract: Epidemiological models can provide the […]

  • GEMS February 4th Session

    Harvey Mudd College at the Shanahan Teaching and Learning Center 301 Platt Blvd., Claremont, CA, United States

  • Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    There are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory, but both of them have applications in digital communications, especially in coding […]

  • Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng, Institute of Mathematical Sciences, CGU)

    Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

    We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS, and also the local Holder condition of the local times […]