Faculty News Briefs

November 2017

On 6 October, Visiting Assistant Professor Stathis Charalampidis talked about "Nonlinear waves in Granular Crystals” at the William E. Boeing Department of Aeronautics & Astronautics of the University of Washington in Seattle.

During the week of 9-14 October , the first ever Student Competition Using Differential Equations Modeling (SCUDEM) event was held. UMass Amherst undergraduates Jonah Chaban, Artem Vysogorets, and Jimmy Hwang worked together as a team, and they produced the top-scoring project among the seven competing teams. On the first morning, all teams received access to three different modeling scenario prompts, and chose which to work on. Meeting throughout the week outside of class time, they devised a model, analyzed its behavior, determined parameters from real-world data, and wrote up their findings. On Saturday, the teams assembled at Mount Saint Mary College in Newburg, NY, where the students were presented with a new twist to their chosen scenario. In the afternoon, all groups presented their work to peers and faculty. Faculty sponsor Matthew Dobson participated in the Saturday event; he and Professor Nathaniel Whitaker also led practice sessions with the students.

On October 19, Professor Rob Kusner lectured about the "Willmore-stability of Minimal Surfaces in Spheres" at the Princeton University Geometric Analysis Seminar.

As a sequel to the ASA’s statement on p-values, Professor Michael Lavine spoke at the ASA’s Symposium on Statistical Inference during 11-13 October. The symposium’s purpose was to foster discussion on specific approaches for improving statistical practice as it intersects with conducting, using and disseminating research in the 21st century. He remains on the editorial board of Ecology, the flagship journal of the Ecological Society of America.

VAP Jacob Matherne and Professor Tom Braden visited MSRI the week of 9-13 October for a workshop Geometric and Topological Combinatorics: Modern Techniques and Methods.

Professor Bill Meeks was invited to be a senior participant in the Institute for Advanced Study's special program Variational Methods in Geometry during the fall of 2018.

Professor Franz Pedit was a keynote speaker at the Discrete Geometry and Dynamics Conference held at the Akademiezentrum of the Technical University Munich in the Raitenhaslach Monastery during 4-6 October. He talked on "Conformal flows minimizing the bending energy for curves and surfaces" and also reports windy weather in Germany.

Marshall H. Stone VAP Luca Schaffer lectured at SUNY Stony Brook about "The KSBA compactification of the moduli space of $D_{1,6}$-polarized Enriques surfaces" on 4 October.

October 2017

The Dean of the College of Natural Sciences, Tricia Serio, has named Associate Head and Professor George Avrunin the Acting Head for the Fall 2017 semester, following Prof. Farshid Hajir's appointment late this summer as Senior Vice Provost for Academic Affairs (see below). The Department appreciates the wealth of experience George brings to the position, as well as his willingness to step forward on such short notice. The search for a new Head is now underway.

Professor Farshid Hajir has been named Senior Vice Provost for Academic Affairs by acting Provost and Senior Vice Chancellor for Academic Affairs John McCarthy, effective 1 October 2017. Hajir fills the position vacated by McCarthy when he became acting Provost in July. Since 2006, Farshid has served our department in various administrative roles, first as undergraduate program director, then as associate head, and for the past three years as department head. During this time, he led initiatives to establish a calculus help center; to revamp the mathematics major curriculum; to revise and improve academic and career advising for our majors, whose numbers have doubled over the past four years; and to increase the diversity of our faculty. Hajir led our department through a strategic planning process, with subsequent hiring that has strengthened our research groups in applied probability, statistics, analysis, and geometry, and that has begun to build a research group in discrete mathematics. He also successfully advocated to establish the Marshall H. Stone Visiting Assistant Professorship and expand the scope of our VAP program. Farshid’s development efforts in the department have helped to secure funding for over 80 students to participate in research experiences for undergraduates over the past decade, as well as to create and endow the new John Baillieul Distinguished Lectures (a series of 3 talks by an eminent scholar each year). He has also served the university through membership on the Campus Planning and Resource Committee, the General Education Council, the Faculty Senate, and as the Faculty Senate’s delegate to the Board of Trustees. “Hajir is an ideal choice,” said McCarthy. “He is a first-rate researcher who also has a broad knowledge of undergraduate and graduate education, who has spearheaded important initiatives in his department, and who has worked across department and college boundaries.” [Adapted from our forthcoming 2017 Department Newsletter and a UMassNewsOffice item.]

On 24 May, Visiting Assistant Professor Eric Hall spoke about joint work with Professors Markos Katsoulakis and Luc Rey-Bellet at a special session on data-driven modeling and prediction of dynamical systems at SIAM Dynamical Systems 2017; his invited talk was titled "Uncertainty quantification for generalized Langevin dynamics.” Eric also gave an invited talk "Robust information divergences for model-form uncertainty arising from sparse data in random PDE” about joint work with Katsoulakis at the North British Probability Seminar at the University of Edinburgh on 22 August. VAP Hall received an AMS-Simons Travel Grant which will provide up to $4,000 over the period 2017-2019 for research-related travel and also includes a small annual amount to enhance the research environment of the Department. The grant is administered by the American Mathematical Society with support provided by the Simons Foundation . He also received a Collaborate @ ICERM grant, providing a small team of researchers funding to spend five days at the Institute for Computational and Experimental Research in Mathematics (ICERM), an NSF-funded research institute in Providence, RI. The collaboration with Mattias Sandberg (KTH) and Håkon Hoel (EPFL) will take place in summer 2018 and will make use of high performance computing resources available through Brown University's Center for Computation and Visualization.

Professor Michael Lavine became chair of the Savage Award committee in September. The award, in honor of Leonard Savage, is bestowed by the International Society for Bayesian Analysis each year on two doctoral dissertations in Bayesian econometrics and statistics, one in Theory and Methods, and one in Applied Methodology. In October he joined the National Institute of Standards and Technology’s Organization of Scientific Area Committees (OSAC) for Forensic Science Subcommittee on Friction Ridge Analysis (FRA) - the term “friction ridge” refers to fingerprints. The OSAC works to strengthen the nation’s use of forensic science by facilitating the development of technically sound standards and by promoting the adoption of those standards by the forensic science community. The FRA subcommittee includes forensic scientists from the FBI, police and sheriff departments.

VAP Jacob Matherne visited the University of Oklahoma the week of 20-25 July to collaborate with Greg Muller. Jacob took part in a 3-person Sage Coding Sprint from 6 to 11 August at the University of Minnesota's Institute for Mathematics and its Applications, implementing code to handle quivers for Double Bruhat cells. Between 13-17 August, Matherne and Tom Braden visited their collaborator Nicholas Proudfoot at the University of Oregon to collaborate on a project involving Kazhdan-Lusztig polynomials of matroids. On 9 and 10 September, Jacob gave invited talks in two special sessions of the AMS Sectional Meeting in Denton, TX: "Kazhdan-Lusztig polynomials for matroids" (joint work
with Braden and Proudfoot) in the special session on Combinatorics and Representation Theory of Reflection Groups: Real and Complex; and "Derived geometric Satake equivalence, Springer correspondence, and small representations" in the special session on "Noncommutative and Homological Algebra."

Professor Ivan Mirkovic lectured at the conferences Representation Theory XV in Dubrovnik, Croatia (18-25 June), and Interactions between Representation Theory and Algebraic Geometry at University of Chicago (21-26 August). He also visited the Mathematical Institute of the University of Bonn, Germany, the week of June 24-31, and gave a talk in their Representation Theory Seminar.

During the week August 14-18, Professor Franz Pedit attended the conference Higgs fields, harmonic maps, integrable systems at the Leibnitz University in Hannover, Germany, honoring Franz on his 60th birthday. The opening speaker was Professor Rob Kusner, who noted the Platonic significance of Franz's age, and then lectured on "Willmore stability of minimal surfaces in the n-sphere" (joint work with UMass visiting research professor PengWang from Tongji University, Shanghai, China). Among the other speakers was Dr. Nicholas Schmitt (former GANG senior scientist, and also Rob's 1993 PhD student here at UMass, now at Leibniz U). Franz also delivered three lectures on "The geometry of the self duality equations" at the BMS/SFB Summer School 2017 Discrete Models in Geometry and Mathematical Physics at Technical University Berlin in September.

Professor Hongkun Zhang was invited to give a plenary talk on "Diffusion for Sinai billiards with flat points" at the 5-9 June conference Modern Trends in the Ergodic Theory of Dynamical Systems in Rome, Italy; and two seminar talks in WuHan, China, on 1-2 August: "Improved Young tower for hyperbolic systems with singularities" at Central China Normal University, and "Diffusion for Lorentz gas with flat points" at Huazhong University of Science and Technology. During the week of 8-12 August, Hongkun organized the Dynamical Systems Section at the Second USA-Uzbekistan Conference on Analysis and Mathematical Physics, at Urgench State University, Uzbekistan, where she also spoke on "Improved Young tower for hyperbolic systems with singularities." And the weekend of 22-23 September, she organized the conference on Mathematical Physics Perspective of Billiards and Dominoes at UMass Amherst with Luc Rey-Bellet and Jianyu Chen; the plenary speakers included 4 members of the National Academy of Sciences: Joel Lebowitz, Gregory Margulis, Yakov Sinai, and Lai-Sang Young (Margulis is also a Fields Medalist, and Sinai is an Abel Prize awardee).

June 2017

Professor Rob Kusner gave the Drexel University colloquium on 22 May - his topic was "The space of soap bubbles." At the end of the month he heads to the Aspen Center for Physics to lead a working group with Yoav Kallus (Santa Fe Institute) and Wöden Kusner (Vanderbilt University) on rope packing, which is also a topic of the 3-week ACP workshop during their visit.

On Cinco de Mayo, Professor Ivan Mirkovic delivered the Brandeis-Harvard-MIT colloquium at Brandeis on "Generalized loop Grassmannians."

During 30 May - 3 June 2017, Professor Franz Pedit participated in the LMS Workshop Programme Variational Methods in Submanifold Theory at the University of York, where he spoke about "Classification of homogeneous Willmore 2-spheres in the n-sphere." Franz will be on sabbatical for the remainder of the year, serving as Research Professor at the TU-Berlin SFBTR109 (Discretization in Geometry and Dynamics).

News Briefs will return in Fall 2017 - have a great summer!

May 2017

During the week of 9-14 April, Assistant Professor Nestor Guillen participated in a 5-day workshop at the Banff International Research Station (BIRS) in Alberta, Canada, which he organized in collaboration with Robert McCann (Toronto) and Jun Kitagawa (Michigan State). This meeting focused on the emerging topic of Generated Jacobian Equations, and it brought together researchers from across the world who work in diverse fields revolving around Partial Differential Equations, particularly Geometric Optics, Differential Geometry, Optimal Transport, and Economics. An archive of material related to the workshop – including the list of abstracts and videos of the talks – can be found here .

Visiting Assistant Professor Robin Koytcheff attended a 2-day conference on configuration spaces and spaces of knots at the University of Victoria (BC, Canada) for 6-7 April. On the second day he gave a talk titled "Configuration space integrals and integer-valued cohomology classes in spaces of knots and links."

VAP Jacob Matherne visited Smith College on 13 April, and gave a talk in their Math Lunch Talk Series titled "The linear algebra of non crossing spanning trees in a disk." During 26-30 April, he attended the Maurice Auslander Distinguished Lectures and International Conference at the Woods Hole Oceanographic Institution where he lectured about "Combinatorial Fourier transform for Type A quiver representation varieties."

April 2017

Visiting Assistant Professor Stathis Charalampidis attended the Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (29 March - 1 April). There he gave two invited talks, "Formation of rogue waves in nonlinear Schroedinger systems: Theory and Computation" and "Multi-component nonlinear waves in nonlinear Schroedinger systems," and he also organized a special session Nonlinear Waves: Mathematical Methods and Applications.

Between 24-28 March, VAP Jacob Matherne traveled to the University of Georgia, where he gave a talk in the Algebra Seminar titled "A Combinatorial Fourier transform for type A quiver representation varieties."

Sponsored by the JSPS Program Mathematical Science of Symmetry, Topology and Moduli, Professor Franz Pedit was invited to the 2nd OCAMI-KOBE-WASEDA Joint International Workshop on Differential Geometry and Integrable Systems in Japan during 9-19 March. He delivered two talks at Tokyo Metropolitan University on March 11 titled "Towards a constrained Willmore conjecture" and "Energy quantization of harmonic 2-spheres in non-compact (semi-Riemannian) symmetric spaces." On 14 and 17 March 14, Franz gave two more invited lectures at Osaka City University titled "Classification of Moebius homogeneous 2-spheres in the conformal n-sphere" and "Energy quantization of harmonic 2-spheres in non-compact (semi-Riemannian) symmetric spaces." He spoke again on the latter topic at the workshop Minimal surfaces: integrable systems and visualization held in Cork, Ireland, between 25-30 March.

VAP Yaping Yang attended the AMS Sectional Meeting in Charleston, South Carolina, during 10-12 March. Based on joint work with Gufang Zhao, her talk "From homotopy theory to representation theory" was part of the special session Geometric Methods in Representation Theory.

Professor Hongkun Zhang was invited to give a colloquium talk 10 March at Tufts University on "Diffusion of Lorentz gas on scatterers with flat point." The same day, Visiting Assistant Professor Jianyu Chen spoke in the Tufts Dynamical Systems Seminar on "Statistical properties of one-dimensional expanding maps with singularities of low regularity."

In old news from last summer, grad students Rich Buckman and Andrew Havens attended two conferences:
Perspectives in topology and geometry of 4-manifolds (Inter University Center, Dubrovnik, Croatia, 6-10 June 2016), and
The 12th William Rowan Hamilton Geometry and Topology Workshop in Low-dimensional topology, complex and symplectic geometry (The Hamilton Mathematics Institute, Trinity College, Dublin, Ireland, 22-26 August 2016).

And in even older news, Professor Rob Kusner was invited to write the cover article "Willmore Bending Energy on the Space of Surfaces" for the Emissary about some of the topics at the MSRI Spring 2016 Program on Differential Geometry, where he was a semester-long Research Professor.

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