Kyle M. Ormsby University of Michigan Department of Mathematics 2074 East Hall 530 Church Street Ann Arbor, MI 48109-1043 USA Office: 1868 East Hall Phone: +1 734 763 2926

Inca Chiriasq'ua, 4950m

I am a fourth-year mathematics doctoral student at the University of Michigan working with Igor Kriz. I will graduate in May 2010 and am currently seeking a postdoctoral position.

My research is in algebraic topology with an emphasis on motivic homotopy theory. I am especially interested in applying the computational methods of stable algebraic topology in the motivic setting, and much of my work focuses on using the motivic Adams and Adams-Novikov spectral sequences to compute algebraic K-theory, algebraic cobordism, and stable motivic homotopy groups of spheres over various fields of arithmetic interest.

• Curriculum Vitae [pdf]
• Research Statement [pdf]
• Teaching Statement [pdf]
• Student Testimonials

• Remarks on motivic homotopy theory over algebraically closed fields (with Po Hu and Igor Kriz), accepted for publication in Journal of K-theory.
• Computations in stable motivic homotopy theory, Ph.D. thesis, University of Michigan, latest version October 2009.
• Motivic invariants of the rationals at 2 (with Paul Arne Østvær), latest version November 2009.

Selected Presentations

• University of Notre Dame Topology Seminar, South Bend, IN, November 10, 2009 (graphics [pdf]).
• University of Illinois Urbana-Champaign Topology Seminar, Urbana, IL, September 29, 2009.
• University of Oslo Topology Seminar, Oslo, Norway, August 18, 2009.
• Graduate Student Geometry and Topology Conference, Madison, WI, April 18, 2009.
• University of Chicago Topology Seminar, Chicago, IL, March 10, 2009.
• University of Michigan Topology Seminar, Ann Arbor, MI, February 19, 2009.
• AMS Special Session on Homotopy Theory and Higher Categories, Joint Mathematics Meeting, Washington, D.C., January 7, 2009 (slides [pdf]).

Conference Participation

• p-adic Geometry and Homotopy Theory (Loen, Norway 2009).
• Motivic Homotopy Theory (Münster, Germany 2009).
• Graduate Student Topology and Geometry Conference (Madison, WI 2009 and Chicago, IL 2007).
• AMS Joint Mathematics Meeting (Washington, D.C. 2009).
• Homotopical Group Theory and Topological Algebraic Geometry (Copenhagen, Denmark and Bonn, Germany 2008).

Teaching Experience

• Courses Taught:
• Math 115, Fall 2006, Calculus I
• Math 116, Winter 2007, Calculus II
• Math 116, Fall 2007, Calculus II
• Math 215, Winter 2009, Multivariable calculus (teaching assistant)
• Courses Coordinated:
• Math 116, Winter 2008, Calculus II (co-coordinated with Dale Winter)
• Outreach:
• Initiated and led undergraduate reading seminars on advanced topics in the Fall terms of 2007, 2008, and 2009.
• Undergraduate math club talk, The geometry of the Hopf fibration, February 5, 2009.
• Teaching assistant for the Summer 2009 Michigan Math and Science Scholars (MMSS) program.
• Counselor in the Young Scholars Program (YSP) at the University of Chicago in the summers of 2004 and 2005.

Fellowships and Awards

• Geometry Research Training Grant (RTG) in the Fall terms of 2008 and 2009.
• Honorable Mention, National Science Foundation Graduate Research Fellowship, 2006.