It is elementary and well known that a nonzero polynomial in one variable of degree d with coefficients in a field F has at most d zeros in F. It is meaningful to ask similar questions for systems of several polynomials in several variables of a fixed degree, provided the base field F is finite. […]
Title: A Brief History of Calculating Machines Speaker: Yousef Daneshbod, Department of Mathematics, University of La Verne Abstract: Calculating machines are digital or analog devices designed to perform mathematical calculations. These […]
We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann Hypothesis) concerning the bias of cubic Gauss sums. This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by Kummer in 1846. One important byproduct of our proof is that […]
In this panel we will have people from diverse backgrounds talking about their career pathways. The event will be fully online in the following link: https://cgu.zoom.us/j/89142368885?pwd=YkhkV24zbUZRV0p2d2xEelZtUmFmdz09Meeting ID: 891 4236 8885Passcode: […]
In a remarkable series of papers Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers, and independently Olga Kharlampovich and Alexei Myasnikov did the same using equivalent structures they called regular NTQ groups. It was later proved by Chloé Perin that if H is an […]
Public key quantum money is a replacement for paper money which has cryptographic guarantees against counterfeiting. We propose a new idea for public key quantum money. In the abstract sense, our bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators. We show that the proposal is secure against black […]
The Claremont Center for the Mathematical Sciences (CCMS) Math Colloquium series begins with a student research poster session, showcasing the mathematical work of all students at the Claremont Colleges. Please join us on Wednesday, September 6th, in the Estella Courtyard at Pomona College to see the wealth of research projects that Claremont math students have […]
A numerical semigroup is a subset S of the natural numbers that is closed under addition. One of the primary attributes of interest in commutative algebra are the relations (or trades) between the generators of S; any particular choice of minimal trades is called a minimal presentation of S (this is equivalent to choosing a […]
Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces Abstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures, the skein algebra is generated by links as well as arcs between the punctures, and there are additional skein […]
Title: Diving into Math with Emmy Noether Starring: Anita Zieher; Director: Sandra Schueddekopf Abstract: A theatre performance by Portraittheater Vienna in co-operation with Freie Universität Berlin about the life of one of history's most influential mathematicians. Based on historical documents and events, the script was written by Sandra Schüddekopf and Anita Zieher in cooperation with […]
"The Sceptical Mathematician: How John Wallis Saved Mathematics for the Royal Society." Abstract: The members of the “Invisible College” and the early Royal Society championed an experimental approach to the study of nature as the proper path to the advancement of knowledge and the preservation of civic peace. Mathematics, while admired, was also viewed with suspicion, […]
Title: Towards Understanding the Success of First Order Methods in Training Mildly Overparameterized Networks Abstract: For most problems of interest the loss landscape of a neural network is non-convex and […]
