Daniel Isaksen
Daniel Isaksen
Department
Mathematics
Research interest(s)/area of expertise
algebraic topology, stable homotopy theory, motivic homotopy theory
Education
 S.M. in Mathematics, University of Chicago, 1995
 Ph.D. in Mathematics, University of Chicago, 1999
 B. A. in Mathematics, University of California Berkeley, 1994
Awards and grants

National Science Foundation Research Grant, Stable stems – the computation of stable homotopy groups of spheres, 2016–2019, $166,831

National Science Foundation Research Grant, Motivic stable homotopy groups, 2012–2016, $111,470

National Security Agency Research Grant, Stable homotopical methods in algebraic geometry, $40,165 (awarded 2012, PI declined because granting agency does not support NSFfunded PIs)

Simons Foundation Collaboration Grant, Motivic stable homotopy groups, $35,000 (awarded 2012, PI declined because granting agency does not support NSFfunded PIs)

National Science Foundation Research Grant, Computational motivic stable homotopy theory, 2008–2012, $99,150

National Science Foundation Research Grant, Applications of prohomotopy theory to algebra, 2005–2008, $95,214

National Security Agency Young Investigators Grant, Homotopical methods for quadratic forms, $30,000 (awarded 2005, PI declined because granting agency does not support NSFfunded PIs)

National Science Foundation Research Grant, Motivic and equivariant stable homotopy groups, 2019–2022, $175,209
Selected publications
 D. C. Isaksen, Stable stems, Mem. Amer. Math. Soc., to appear, arXiv:1407.8418.
 D. Dugger and D. C. Isaksen, Low dimensional MilnorWitt stems over R, Ann. KTheory 2 (2017) 175–210.
 B. J. Guillou and D. C. Isaksen, The ηinverted Rmotivic sphere, Algebr. Geom. Topol. 16 (2016) 3005–3027.
 B. Gheorghe and D. C. Isaksen, The structure of motivic homotopy groups, Bol. Soc. Mat. Mex. 23 (2017) 389–397.
 D. C. Isaksen and Z. Xu, Motivic stable homotopy and the stable 51 and 52 stems, Topology Appl. 190 (2015) 31–34.
 D. Dugger and D. C. Isaksen, The Hopf condition for bilinear forms over arbitrary fields, Ann. of Math. 165 (2007) 943–964.
 D. Dugger and D. C. Isaksen, The motivic Adams spectral sequence, Geom. Topol. 14 (2010) 967–1014.
 B. J. Guillou and D. C. Isaksen, The ηlocal motivic sphere, J. Pure Appl. Algebra 219 (2015) 4728–4756.
 D. Dugger, S. Hollander, and D. C. Isaksen, Hypercovers and simplicial presheaves, Math. Proc. Cambridge Philos. Soc. 136 (2004) 9–51.
 B. J. Guillou and D. C. Isaksen, The motivic vanishing line of slope 1/2, New York J. Math. 21 (2015) 533–545.
Currently teaching
MAT 2020, 4 credits, Winter 2020
Courses taught
MAT 5420, 4 credits, Fall 2019
MAT 6500, 3 credits, Fall 2019