 Algebra and Algebraic Geometry
 Analysis
 Applied Mathematics
 Combinatorics
 Computer Science
 Differential Equations
 Financial and Actuarial Mathematics
 Geometry & Topology
 Logic and Foundations
 Mathematical Biology
 Mathematical Physics
 Mathematics Education
 Number Theory
 Probability Theory
 Research Training Grant

 Algebraic Geometry  Research Training Grant (RTG)
 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 postdoctoral and graduate programs in the country. It has an excellent record of producing highquality researchers in geometry, topology and dynamics. This proposal calls to bolster the training of postdocs 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 postdocs to develop their lecturing skills.
 Provide for travel semesters to other prominent research places.
 Mentor graduate students and postdocs on their research, teaching and careers.
 Offer undergraduates intensive research experiences in the three areas.
RTG Graduate Students*
Emily Clader (ETH Zurich, Assist. Prof. San Francisco State Univ.)
David Constantine (Univ. Chicago, Assist. Prof. Wesleyan Univ.)
Dondi Ellis
William Gignac (Ecole Polytechnique, Georgia Tech.)
Jasun Gong (Univ. Pittsburgh, Assist. Prof. 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., Assist. Prof. UC Riverside)
Robin Lassonde (software: East Agile, now Google)
Michelle Lee (Univ. Maryland, GEICO)
Aaron Magid (Univ. Maryland)
Johanna Mangahas (Brown Univ., Assist. Prof. Univ. Buffalo)
Jeffrey Meyer (Univ. Oklahoma, Assist. Prof. Cal. State San Bernadino)
Kyle Ormsby (MIT, Asst. Prof. Reed College)
Nathan Priddis (Leibniz Universität, Assist. Prof. Hannover, BYU)
Rohini Ramadas (Harvard, NSF postdoc)
Felipe Ramirez (Bristol, Assist. Prof. Wesleyan Univ.)
David Renardy (Invincea Labs)
Russell Ricks (SUNY Binghamton)
Geoffrey Scott (Univ. Toronto)
Brandon Seward (Hebrew Univ., NYU)
Mark Shoemaker (Univ. Utah, Assist. Prof. Colorado State University)
Robert Silversmith (Stony BrookSimons Center)
Diane Vavrichek (CNA)
Nina White (SOE lecturer Univ. Michigan, Lecturer Univ. Michigan)
Kevin Wildrick (University of Jyvaskyla, Assist. Prof. Montana State University)
Marshall William (Univ. of Illinois at Chicago)
Crystal Zeager (McKinsey)
Andrew Zimmer (Univ. Chicago, NSF postdoc; Assist. Prof. 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 BouRabee (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, Assist. Pro.f U Mass Boston)
Dusty Grundmeier (Ball State University)
Mark Hagen (Postdoc. Cambridge Univ., Bristol University)
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 (Assoc. Prof. UBC)
Mark Radosevich (Lecturer Univ. Mich. Dearborn)
Paul Reschke (SBB Research Group)
Dustin Ross (Assist. 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 (Assist. Prof. Temple Univ.)
Daniel Visscher (Lecturer U Mich. , Assist. Prof, Ithaca College)
Nicholas Vlamis (current)
*The field in parentheses indicates the fellow's appointment following their time at Univ. Michigan.
RTG Supported Theses
Dondi Ellis  2017  Motivic Analogues of MO and MSO 
Rohini Ramadas  2017  Dynamics on the Moduli Space of Pointed Rational Curves 
Robert Silversmith  2017  A Mirror Theorem For Symmetric Products of Projective Space 
David Renardy  2016  Bumping in the Deformation Spaces of Hyperbolic 3Manifolds with Compressible Boundary 
Brandon Seward  2015  Krieger’s Finite Generator Theorem For Ergodic Actions Of Countable Groups 
Russell Ricks  2015  Flat Strips, BowenMargulis Measures, And Mixing Of The Geodesic Flow For Rank One Cat(0) Spaces 
Nathan Priddis  2014  A LandauGinzburg/CalabiYau Correspondence For The Mirror Quintic 
Becky Hoai  2014  On Symplectic Invariants Associated To Zoll Manifolds 
Andrew Zimmer  2014  Rigidity Phenomena In Complex Projective Space 
Emily Clader  2014  The LandauGinzburg/CalabiYau Correspondence For Certain Complete Intersections 
Geoff Scott  2014  Torus Actions And Singularities In Symplectic Geometry 
Mark Shoemaker  2013  A Mirror Theorem for the Mirror Quintic 
William Gignac  2013  Equidistribution of Preimages in Nonarchimedean Dynamics 
Jeffrey Meyer  2013  On the Totally Geodesic Commensurability Spectrum of an Arithmetic Locally Symmetric Spaces 
Sara Lapan  2013  On the existence of attracting domains for maps tangent to the identity 
Jordan Watkins  2013  The Higher Rank Rigidity Theorem for Manifolds with No Focal Points 
Jordan Sahattchieve  2012  Solutions to Two Open Problems in Geometric Group Theory 
Robin Lassonde  2012  Splittings of NonFinitely Generated Groups 
Michelle Lee  2012  Dynamics on the PSL(2, C)character variety of certain hyperbolic 3manifolds 
Nina White  2012  Bounds on eigenvalues of the Laplacian for certain classes of closed hyperbolic 3manifolds 
Daniel Kneezel  2011  Verlinde Ktheory 
Kyle M. Ormsby  2010  Computations in stable motivic homotopy theory 
Felipe Ramirez  2010  Smooth Cocycles over homogeneous dynamical systems 
Marshall Williams  2010  Metric Currents and Differentiable Structures 
Johanna Mangahas  2010  On Subgroups of Mapping Class Groups 
Paul Johnson  2009  Equivariant GromovWitten Theory of One Dimensional Toric Stacks9 
Aaron Magid  2009  Deformation Spaces of Kleinian Surface Groups are not Locally Connected (pdf) 
Christopher Hammond  2009  Invariants of Transformation Groups Acting on Real Hypersurfaces of Complex Spaces (doc) 
David Constantine  2009  Hyperbolic rankrigidity and frame flow (doc) 
Jasun Gong  2008  Derivations on Metric Measure Spaces (doc) 
Kevin Wildrick  2008  Quasisymmetric parameterizations of twodimensional metric spaces 
Diane Vavrichek  2008  Accessibility and JSJ decompositions of group (doc) 
RTG Workshops & Lecture Series
May 29  June 2, 2017  Mirror Symmetry Conference for Young Researchers  
December 36, 2015  Arithmetic Dynamics  
November 1014, 2014  A.Pixton  Tautological Relations on Moduli Spaces of Smooth Curves  
April 2527, 2014  Thin Groups Workshop Thin Groups Lectures  
March 1013, 2014  S. Dyatlov  Microlocal Analysis in Dynamics and Relativity  
March 37, 2014  Bmodel aspects of GromovWitten Theory  
March 2931, 2013  Random Walks on Groups  
March 48, 2013  Geometry and Physics of Gauged Linear Sigma Model  
December 79, 2012  Complex and NonArchimedean Dynamics  
May 46, 2012  Recent Progress on Hyperbolic 3manifolds  
February 1819, 2012  Mirror Symmetry  
February 1624, 2012  K. Hori  Mirror Symmetry from a Physical Perspective  
October 89, 2011  Topics in Several Complex Variables and CR Geometry  
October 2427, 2011  A. Lubotzky  Expanders and Sieve Methods  
September 2629, 2011  K. Fukaya  Lagrangian Floer Homology and Mirror Symmetry  
April 1517, 2011  Higher Dimensional Teichmueller Theory  
April 13, 2011  Some Topics in Geometric Function Theory of Several Complex Variables  
March 2011  Heegaard Floer meets SeibergWitten  
April 2010  Cobordism and MadsenWeiss' Theorem  
April 2010  GromovWittenTheory and Related Topics  
March 2010  Holomorphic Maps and Iterations  
December 2009  Complex Dynamics  
April 2009  Geometric Group Theory  
April 2009  Recent Developments in Oka Theory  
April 2008  Dynamics of Teichmuller Theory  
December 2007  CR Geometry  
April 2007  Geometry of Teichmuller Theory 
RTG Supported Publications
All Years  RTG Bibliography (pdf)
2017 RTG Bibliography (pdf)
2016 RTG Bibliography (pdf)
2015 RTG Bibliography (pdf)
2014 RTG Bibliography (pdf)
2013 RTG Bibliography (pdf)
2012 RTG Bibliography (pdf)
2011 RTG Bibliography (pdf)
2010 RTG Bibliography (pdf)
2009 RTG Bibliography (pdf)
2008 RTG Bibliography (pdf)