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Geometry, Topology and Dynamics - Research Training Grant (RTG)

Project Summary Training the Research Workforce in Geometry, Topology and Dynamics

This proposal calls for a research training program in geometry, topology and dynamics at the University of Michigan. Recent Ph.D.’s and advanced graduate students will be the main beneficiaries. We will deepen and broaden their training and give the trainees ample opportunities to excel in their research. Five senior faculty members (Mario Bonk, Richard Canary, John Erik Fornaess, Juha Heinonen and Ralf Spatzier) will lead this project in collaboration with eleven other senior faculty in these areas at Michigan.

Intellectual Merit: Topology, geometry and dynamical systems are core areas in mathematics. Especially in recent years, they have developed in mutually beneficial interaction. Many of the most exciting developments in these areas are truly interrelated, and benefit from each other either by idea, analogy or actual tool. At the same time, connections with other fields such as algebraic geometry and mathematical physics have strengthened dramatically. These developments have been amazing in their breadth and depth, and demonstrate the vitality of these areas. Completely new areas have arisen in the last two decades.

Broader Impact: The Mathematics Department at the University of Michigan has one of the largest and most vigorous post-doctoral and graduate programs in the country. It has an excellent record of producing high-quality researchers in geometry, topology and dynamics. This proposal calls to bolster the training of post-docs and graduate students in geometry, topology and dynamics by deepening and broadening it. In particular, we propose the following specific innovations in our training:

  • Overhaul our seminars by introducing Intensive, Exploratory and Conjecture seminars.
  • Introducing a new Explorations in Geometry, Topology and Dynamics Seminar.
  • Hold workshops specifically geared at young researchers.
  • Present numerous opportunities for advanced graduate students and post-docs to develop their lecturing skills.
  • Provide for travel semesters to other prominent research places.
  • Mentor graduate students and post-docs on their research, teaching and careers.
  • Offer undergraduates intensive research experiences in the three areas.

RTG Graduate Students*

Emily Clader (ETH Zurich, San Francisco State Univ.)

David Constantine (Univ. Chicago, Wesleyan Univ.)

Dondi Ellis

William Gignac (Ecole Polytechnique, Georgia Tech.)

Jasun Gong (Univ. Pittsburgh, Fordham Univ.)

Chris Hammond (Texas A&M)

Becky Hoai (Federal Reserve Bank of St. Louis)

Paul Johnson (Imperial College, Sheffield)

Daniel Kneezel

Sara Lapan (Northwestern Univ., UC Riverside)

Robin Lassonde (software: East Agile, now Google)

Michelle Lee (Univ. Maryland, GEICO)

Aaron Magid (Univ. Maryland)

Johanna Mangahas (Brown Univ., Univ. Buffalo)

Jeffrey Meyer (Univ. Oklahoma, Cal. State San Bernadino)

Kyle Ormsby (MIT, Reed)

Nathan Priddis (Leibniz Universität, Hannover, BYU)

Rohini Ramadas (Harvard, NSF postdoc)

Felipe Ramirez (Bristol, Wesleyan Univ.)

David Renardy (Invincea Labs)
Russell Ricks (SUNY Binghamton)

Geoffrey Scott (Univ. Toronto)

Brandon Seward (Hebrew Univ., NYU)

Mark Shoemaker (Univ. Utah, Colorado State University)

Robert Silversmith (Stony Brook-Simons Center)

Diane Vavrichek (CNA)

Nina White (SOE lecturer Univ. Michigan, Lecturer Univ. Michigan)

Kevin Wildrick (University of Jyvaskyla, Montana State University)

Marshall William (Univ. of Illinois at Chicago)

Crystal Zeager (McKinsey)

Andrew Zimmer (Univ. Chicago, NSF postdoc; William and Mary)


*The field in parentheses indicates the students's appointment following their time at Univ. Michigan.

RTG Postdoctoral Fellowships*

Patrick Boland (Lecturer Univ. Mich.)

Khalid Bou-Rabee (Assist. Prof. The City College of New York)

William Breslin (Assoc. Prof. Pacific University)

Harrison Bray (current)

Jeffrey Brown (IBS- Center for Geometry and Physics (Postech Campus))

Trevor Clark (Research Assoc. Imperial College London)

Matthew Durham (current)

Joel Fish (Standford, U Mass Boston)

Dusty Grundmeier (Ball State University)

Mark Hagen (Postdoc. Cambridge Univ.)

Jonathan Handy (unavail.)

Diana Hubbard  (current)

Rohan Kadakia (current)

Michael Kelly (CCR)

Paul Kessenich (Lecturer Univ. Mich.)

Yvonne Lai (Assist. Prof. Univ. Nebraska)

Ben Linowitz (Assist. Prof. Oberlin College)

Lars Louder (Lecturer University College London)

Anton Lukyanenko  (Assist. Prof. George Mason)

Christopher Mooney (Assist. Prof. Bradley Univ.)

Alexandra Pettet (Assist. Prof. UBC, Assoc. Prof. UBC)

Mark Radosevich (Lecturer Univ. Mich. Dearborn)

Paul Reschke (SBB Research Group)

Dustin Ross (Asst. Prof., SFSU)

Sonmez Sahutoglu (Assist. Prof. Univ. of Toledo)

Kevin Schreve (NSF postdoc, U Michigan)

Sohrab Shahshahani (Assist. Prof. Univ. Mass.)

David Sher (Assist. Prof. DePaul Univ.)

Matthew Stover (Assistant Prof. Temple Univ.)

Daniel Visscher (Lecturer U Mich. , Asst Prof, Ithaca College)

Nicholas Vlamis (current)


*The field in parentheses indicates the fellow's appointment following their time at Univ. Michigan.