11:00am to 12:30pm  ELH 100  Differential Geometry SCGAS  (Conference) 25th Southern California Geometric Analysis Seminar Conference website: https://www.math.uci.edu/scgas Please register at the conference website if planning to attend. 
4:00pm to 5:00pm  RH 306  Special Colloquium Maryann Hohn  (UCSB) Research with Undergraduates  Successes and Pitfalls Undergraduates are curious about research in mathematics: what kinds of questions do mathematicians ask, what does research entail, how do you begin to solve a new problem. In this talk, we will discuss integrating undergraduate research projects inside the classroom and how to expose students to new mathematical questions in both upper and lower division courses. We will then talk more generally about setting students up for success in the classroom. 
3:00pm to 4:00pm  RH 306  Analysis Weimin Sheng  (Zhejiang University) Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems In this talk, I will introduce our recent work on Gauss curvature flow with XuJia Wang and QiRui Li. In this work we study a contracting flow of closed, convex hypersurfaces in the Euclidean space $\R^{n+1}$ with the speed $f r^{\alpha} K$, where $K$ is the Gauss curvature, $r$ is the distance from the hypersurface to the origin, and $f$ is a positive and smooth function. We prove that if $\alpha\ge n+1$, the flow exists for all time and converges smoothly after normalization to a hypersurface, which is a sphere if $f\equiv 1$. Our argument provides a new proof for the classical Aleksandrov problem ($\alpha = n+1$) and resolves the dual qMinkowski problem introduced by Huang, Lutwak, Yang and Zhang recently, for the case q<0 ($\alpha>n+1$). If $\alpha< n+1$, corresponding to the case q > 0, we also establish the same results for even function f and originsymmetric initial condition, but for nonsymmetric f, counterexample is given for the above smooth convergence. 
4:00pm  RH 306  Differential Geometry Norman Zergaenge  (University of Warwick) Convergence of Riemannian manifolds with scale invariant curvature bounds A key challenge in Riemannian geometry is to find ``best" metrics on compact manifolds. To construct such metrics explicitly one is interested to know if approximation sequences contain subsequences that converge in some sense to a limit manifold. In this talk we will present convergence results of sequences of closed Riemannian To prove these results, we use Jeffrey Streets' L2curvature 
4:00pm to 5:00pm  RH 306  Special Colloquium Jeff Ludwig  (Jump Trading) Jump Labs: An Experiment in Research and Recruiting for High Frequency Trading For 3 years I served as the Director of Jump Labs, a new endeavor for cuttingedge research and recruiting launched by Jump Trading, a quantitative high frequency trading firm based in Chicago.
The crux is to create a long term and powerful pipeline for talent acquisition by challenging the faculty and students with realworld problems. The structure aligns relevant industrial research with the passions and expertise of the faculty member and students. Opportunities for publication are encouraged. In our first two years we sponsored over 60 undergraduate and graduate students and 20 professors spanning 25 projects. The structure seeks to advance relevant research and creates a powerful recruiting pipeline for talent that is long term and low risk. We will discuss the successes and challenges encountered at Jump Labs in its first three years. 
2:00pm   Mathematical Physics S. Kocic  (U Mississippi) Renormalization and rigidity of circle diffeomorphisms with breaks Abstract: Renormalization provides a powerful tool to approach universality and 
1:00pm to 1:50pm  RH340N  Ergodic Schrodinger Operators Lili Yan  (UC Irvine) Carleman estimate I am going to talk about Carleman estimate with Carleman weight first. To prove Carleman estimate, I need to introduce some definitions of semiclassical analysis first. Then I am going to talk about Carleman estimate with limiting Carleman weight and some applications. 
3:00pm to 4:00pm  RH 306  Special Colloquium James Rolf  (Yale) Leveraging Peer Support to Enhance Learning I will talk about the use of peers to enhance learning in three different contexts. The first context is a flipped integral calculus course. Students are expected to prepare for class ahead of time by watching video(s) and taking online quizzes. The instructor accesses the quiz data before class and uses student responses to tailor the classroom instruction. Inclass time focuses on extending student understanding with a variety of active learning techniques, including peertopeer instruction. I will report the data we have collected about the impact of this experience on both student attitudes and learning. The second context is a summer online bridge program for incoming students. We utilize undergraduate coach/mentors to meet online virtually with a team of 45 incoming students throughout the summer to help close some of their mathematical gaps. I will describe the design of this program, how it enhances Yale's desire to recruit and retain a diverse student body, and the impact it has on student attitudes and learning. I will also highlight data that describes the impact of peer coaches on both learning and the motivation to learn. The third context is a systematic supervised reading/research program for ~1200 math majors at UC Irvine. I will provide some suggestions for how this program might be structured to leverage advanced undergraduates and graduate students to help motivated math majors.

4:00pm to 5:00pm  RH306  Applied and Computational Mathematics Jinchao Xu  (The Pennsylvania State University) Lowest Order Piecewise Polynomial Approximation of H^m Functions in ℝ^n In this talk, we report a recent joint work with Shuonan Wu that gives a universal construction of simplicial finite element methods for 2mth order partial differential equations in ℝ^n, for any m≥1, n≥1. This family of finite element space consists of piecewise polynomials of degree not greater than m. It has some natural inclusion properties as in the corresponding Sobolev spaces in the continuous cases and it recovers the MWX element when n≥m. We establish quasioptimal error estimates in an appropriate energy norm. The theoretical results are further validated by numerical tests. 