# MATH News

*** *As you can probably see, we are in the process of updating our website. Expect a chance of changes, some of which will endure... and hopefully the mistakes and glitches will be transitory.* [Summer 2020]

**Welcome, Burak Hatinoglu and Andrew Kobin, new Visiting Scholars 2020/1.**

**Burak Hatinoglu**

In broad sense, my research lies within analysis and mathematical physics. In particular, I am working on inverse spectral theory of differential operators, Chebyshev and orthogonal polynomials and Toeplitz operators.

Besides mathematics, I like to spend time on literature and basketball.

**Andrew Kobin**

My name is Andrew Kobin. I'm originally from a small town near Milwaukee, WI, and I received my bachelor's and master's degrees in math from Wake Forest University in Winston-Salem, NC, as well as my PhD from the University of Virginia in Charlottesville, VA, in 2020. I'm excited to start my first postdoc at UCSC!

I think about many topics in arithmetic geometry, number theory and homotopy theory, including: stacks, wild ramification invariants, modular forms, zeta functions and so-called "enriched" enumerative geometry. I'm also always happy to chat about anything that's not on this list, so please don't hesitate to introduce yourself over email (for now) or come by my office (hopefully in the near future).

Beyond math, I enjoy playing music, walking my dogs, learning languages and spending time outdoors. I can't wait to explore the Santa Cruz area - suggestions are welcome!

[2 August & 27 July 2020]

**Richard Montgomery retires. **We are honored by his many services, and sad to see him leave. However, he will still be on-campus for a while, mentoring his graduate students... and whispers suggest that he will grace us with a final(?) offering of Math 209 in Winter 2021. *Ave, *Richard*. *May you always land on your feet. [14 July 2020.]

"A big influence on my career has been `classical' gauge theory: the geometry of a principal bundle with connection. Following the physicists Shapere, Wilczek and Guichardet, I explored the connections between gauge theory and questions in everyday (not high energy) physics and control such as how does a cat, dropped from upside down, [land] with zero angular momentum? Idealizing the cat to consist of only three mass points led me deep into the jungle of the three-body problem, where I have stumbling about in wonderment ever since."

**The Three-Body Problem :** Its figure-8 solution is perhaps the most famous work of Distinguished Professor Richard Montgomery. His unexpected, elegant answer to a centuries-old question of chaos is intriguing in its beauty.

Watch a video about the 3-body problem on PBS (via YouTube.)

Richard Montgomery and the three-body problem published in Scientific American. [article]

**Dan Cristafaro-Gardiner to do a rare, second year at IAS. **His von Neumann Postdoctoral Research Fellowship has been extended, and he will remain at the Institute for Advanced Study (IAS) in Princeton, New Jersey for the 2020-21 academic year, adding to his 2019-20 fellowship. Congratulations to Dan ! [10 July 2020]

**Marty Weissman to receive Guggenheim Fellowship for 2021-22. ** He will use the award to support his current project, a series of 60 images which visualize the nature of prime numbers. In the spirit of his 2018 book *An Illustrated Theory of Numbers*, this new work will tell a history through pictures, literally illustrating the development of concepts across time. [10 April 2020.]

**François Monard awarded NSF CAREER Grant** for his work in integral geometry and imaging techniques. “The basic problem is to reconstruct the internal features of something based on an understanding of how particles or waves propagate through it, and problems of integral geometry arise when the measurements take the form of cumulative values along a family of trajectories. Some applications should take into account that information often propagates along curves instead of straight lines, and addressing this issue is one of the main geometric motivations of my project.” [24 January 2020.]

**Viktor Ginzburg named Fellow of American Mathematical Society. ** "For contributions to Hamiltonian dynamical systems and symplectic topology[,] and in particular studies into the existence and non-existence of periodic orbits." *"*The designation as AMS Fellow honors members of the society who have made outstanding contributions to mathematics and to the profession." [5 November 2019]

**Harold Widom, professor emeritus, to receive 2020 Steele Prize for Seminal Contribution to Research. **He and colleague Craig Tracy will be recognized for their 1994 paper, "Level-spacing distributions and the Airy kernel." This contribution to mathematical physics is the origin of what are now called Widom-Tracy distributions, and their development is "considered a major breakthrough of lasting importance." [30 October 2019.]

**Mathematics Department Develops Online Courses. **"The online calculus course taught by Frank Bäuerle (left) and Anthony Tromba (right) is the first cross-campus online course that satisfies prerequisites at all nine UC undergraduate campuses." [1 July 2015]