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Colloquia this week
by David Wright 16 Jan '23

16 Jan '23

The OSU Math Department colloquia begin this week: First up, Tuesday, 3:30 PM virtual with zoom link https://okstate-edu.zoom.us/j/95282160606?pwd=U3RDWEZyZlpINmJPTXZXUzVoSDNLQ… Sean T. McQuade, Rutgers Camden, Center for Comput. and Integr. Biology How chemical networks can be in equilibrium Abstract: Chemical networks, such as metabolism can be simulated to assist in an array of research including new drug discovery, personalized medicine, and testing high-risk treatment before applying it to humans. Improved biochemical simulations can also reduce our dependence on animal testing before clinical trials. This talk demonstrates a mathematical framework for biochemical systems that progresses toward improved early phase drug dis- covery and personalized medicine. ================================================= Second, Friday 3:30 PM, Virtual with Zoom link https://okstate-edu.zoom.us/j/93956536024?pwd=d1Vrd1FnMjRnb1FZNEthQXRVQnFtd… Justin Lacini, University of Kansas Syzygies of adjoint linear series on projective varieties Abstract: Syzygies of algebraic varieties have long been a topic of intense interest among algebraists and geometers alike. Starting with the pioneering work of Mark Green on curves, numerous attempts have been made to extend these results to higher dimensions. Ein and Lazarsfeld proved that if A is a very ample line bundle, then K_X + mA satisfies property Np for any m ≥ n + 1 + p. It has ever since been an open question if the same holds true for A ample and basepoint free. In joint work with Purnaprajna Bangere we give a positive answer to this question. ============================================================= I hope you enjoy these math talks from top young mathematicians. Sincerely, David Wright

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Math Colloquia
by David Wright 11 Jan '23

11 Jan '23

Hi, For the next four weeks, we have scheduled Collouia by a selection of top young mathematicians. The list is attached. These will be Zoom talks, and the Zoom links and abstracts will be emailed out shortly before the talks. Some of the title and abstracts are at the department's seminar sites: https://www.mathdept.okstate.edu/announce/ or the department lounge bulletin board. For faculty, the Zoom links will be posted at the Department Canvas site https://canvas.okstate.edu/courses/129477 Hope to see you at the talks. If you have someone in mind to invite for a colloquium later in the term, please let me know. The schedule is fairly open. Sincerely, David Wright

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Math Colloquium on Friday Dec. 2
by David Wright 01 Dec '22

01 Dec '22

Dear friends, There is a mathmatics colloquium tomorrow in MSCS 101 at 3:30PM. Refreshments will be at 4:30 in the department lounge. The speaker is Professor Weizhang Huang of the University of Kansas and his title is The MMPDE moving mesh method and applications His abstract may be found below. Please join us for this talk on an interesting numerical method for solving partial differential equations. Best wishes, David Wright Abstract: The MMPDE moving mesh method is a dynamic mesh adaptation method for use in the numerical solution of partial differential equations. It employs a partial differential equation (MMPDE) to move the mesh nodes continuously in time and orderly in space while adapting to evolving features in the underlying problem. The MMPDE is formulated as the gradient flow equation of a meshing functional that is typically designed based on geometric, physical, and/or accuracy considerations. In this talk, I will describe the MMPDE method and a new discretization of the method. This new discretization gives the mesh velocities explicitly, analytically, and in a compact matrix form, which in turn leads to a simple, efficient, and robust implementation of the MMPDE method. In particular, it works for convex or nonconvex domains in any dimension and is guaranteed for mesh nonsingularity (free of mesh tangling). Applications of the method will be discussed, including bulk and surface mesh smoothing (to improve mesh quality), generation of anisotropic polygonal meshes, and the numerical solution of the porous medium equation, the regularized long-wave equation, the phase-field modeling of brittle fracture, shallow water equations, and moving and free boundary problems.

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Zoom Link for Math Colloquium Today
by David Wright 18 Nov '22

18 Nov '22

Dear friends, The Zoom link for today's colloqium in MSCS 101 at 3:30 Pm is down below Speaker: Kazuo Yamazaki, Texas Tech University Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics Topic: Math Colloquium Time: Nov 18, 2022 03:30 PM Central Time (US and Canada) Join Zoom Meeting https://zoom.us/j/99345536093?pwd=RFhKNXJBMStvcVlTZnhudVAvc1ZRdz09 Meeting ID: 993 4553 6093 Passcode: 716173 Join by Skype for Business https://zoom.us/skype/99345536093

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Math Colloquium On Friday
by David Wright 17 Nov '22

17 Nov '22

Dear friends: On Friday, we welcome back an OSU alum Kazuo Yamazaki, who earned his doctorate here in 2014 under the direction Of Professor Jiahong Wu, and has since become an Assistant Professor at Texas Tech University. Dr. Yamazaki will deliver the colloquium at 3:30 PM on Friday in MSCS 101 on the first floor. Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics His abstract is below. There will be refreshments after the colloquium at 4:30 in the lounge. After that, we will be taking Dr. Yamazaki out to dinner and you are welcome to come along. Details to be arranged on Friday. Sincerely, David Wright Abstract: In this talk, I would like to explain recent developments in PDE's of my interest. First, many PDE's that were derived and analyzed by physicists consisted of random force, specifically space-time white noise. Examples include Kardar-Parisi-Zhang equation or Phi4 model from quantum field theory. The roughness of such noise led to a lack of sufficient spatial regularity for the solution and therefore the non-linear terms therein to be ill-defined. The recent inventions of the theory of regularity structures by Hairer and the theory of paracontrolled distributions by Gubinelli, Imkeller, and Perkowski nonetheless allow one to obtain some solution theory, and their contributions are considered to be exceptionally important in recent advances in mathematics. Second, the convex integration technique, originally accredited to the work of Nash in geometry in 1954, was recently extended significantly and adapted to equations of fluids. It has led to multiple breakthroughs, e.g., the resolution of Onsager's conjecture about Euler equations from 1949, Taylor's conjecture about MHD from 1974, non-uniqueness of the weak solution to the 3D Navier-Stokes equations which settled Serrin's conjecture from 1963. After describing these developments, I would like to explain more recent developments, as well as open problems that connect these two techniques.

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Math Colloquium Tomorrow
by David Wright 10 Nov '22

10 Nov '22

Dear friends: One of our postodctoral visiting assistant professors Jonathan Johnson will favor us with the colloquium tomorrow at 3:30 PM in MSCS 514 (fifth floor). His title is Keeping Things in Order and the abstract is below. After that there are two colloquia remaining this semester: Friday Nov. 18, Kazuo Yamazaki, OSU Ph.D. and Assistant Professor at Texas Tech University. Title: Singular stochastic PDE's and non-uniqueness in mathematical physics and fluid mechanics Friday Dec. 2, Weizhang Huang, University of Kansas. Title: The MMPDE moving mesh method and applications Sincerely, David Wright Keeping Things in Order, Jonathan Johnson Abstract: In the past couple of decades, group orderability has played a surprising role in the study of 3-manifolds. In this talk, we will focus on two key questions. When can the elements of a group be bi-ordered; that is, when is there a total ordering of a group’s elements invariant under group multiplication? Second, when does an automorphism of a group preserve a bi-ordering of the group? In particular, we will explore these questions for the fundamental groups of exteriors of links in the 3-sphere.

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Colloquium Reminder
by David Wright 04 Nov '22

04 Nov '22

Hi: Just a reminder there is a math colloquium today at 3:30 PM in MSCS 101. Prof. Xiaoming Zheng of Central Michigan University Title: Tumor Grows to Lower Extracellular Matrix Conductivity Regions under Darcy’s Law and Steady Morphology

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Math Colloquium on Friday Nov. 4
by David Wright 01 Nov '22

01 Nov '22

Dear friends: There is colloquium talk this Friday, Nov. 4, at 3:30 PM in MSCS 101. Prof. Xiaoming Zheng of Central Michigan University Title: Tumor Grows to Lower Extracellular Matrix Conductivity Regions under Darcy’s Law and Steady Morphology The abstract is below. There will be refreshments at 4:30 in the department lounge, and we will take the speaker to afterwards, and anyone who wishes to come along is welcome. Sincerely, David Wright Abstract: We study a classic Darcy’s law model for tumor cell motion with inhomogeneous and isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing through porous extracellular matrix (ECM). The ECM is assumed to be rigid and motionless with constant porosity. One and two dimensional simulations show that the tumor mass grows from high to low conductivity regions when the tumor morphology is steady. In the one-dimensional case, we proved that when the tumor size is steady, the tumor grows towards lower conductivity regions. We conclude that this phenomenon is produced by the coupling of a special inward flow pattern in the steady tumor and Darcy’s law which gives faster flow speed in higher conductivity regions.

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Special Math Talks this week - Prof. Ju-Lee Kim
by Hoffman, Neil 26 Oct '22

26 Oct '22

Dear all, This is a reminder that our first invitee for the Distinguished Women in Math Colloquium Series, Prof. Ju-Lee Kim from MIT, is visiting our department this week. She will give a research talk at the Number Theory Seminar on Thursday at 3:30 pm, and a colloquium talk on Friday at 3:30 pm. Location and abstracts can be found on the department website: https://www.mathdept.okstate.edu/announce/<https://nam04.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.mathd…> As part of the program, we will have a dinner with Prof. Kim on Friday at 6:00 pm. Please let me or Prof. Neil Hoffman know if you intend to participate by tomorrow morning, so we can have an appropriate count of dinner participants. Lastly, please join me thanking Prof. Melissa Emory for helping us coordinate this week's events. Best regards, Alessandra Alessandra Costantini, Ph.D. Postdoctoral Fellow Department of Mathematics Oklahoma State University alecost(a)okstate.edu ______________________ Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman

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Special Math Talks this week
by David Wright 24 Oct '22

24 Oct '22

Dear friends: This week thanks to the Association of Women in Mathematics (and the efforts of Neil Hoffman and Alessandra Costantini) we have special talks by Professor Ju-Lee Kim of the Masschusetts Institute of Technology. Professor Kim is a leader in representation theory and automorphic forms. She will be giving a number theory seminar Local Langlands correspondence and (stable) Bernstein center on Thursday at 3:30 PM in MSCS 514 aimed at grad students and faculty and she will be giving a colloquium Types in representation theory of p-adic groups on Friday at 3:30 PM in MSCS 101 aimed at a genral math audience. As an introduction to Professor Kim's are of study, our own Professor Melissa Emory will give a special talk The Langlands Program: A Grand Unified Theory on Tuesday, Oct. 25, at 3:30 PM in MSCS 514. The Langlands Program is a vast system of conjectures (and now some theorems) in group theory, number theory, rpresentation theory and many related field put forth by Robert Langlands in the 1960's and 1970's. Other opportunities to interact with Professor Kim during the week will be announced later. I hope you have a chance to take part in these talks. Sincerely, David Wright

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