# Daniel Isaksen

Professor

313 577 2479

F/AB 1195

## Website(s)

## Media

## Department

# Daniel Isaksen

## 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 NSF-funded PIs)

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

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

National Science Foundation Research Grant, Applications of pro-homotopy 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 NSF-funded 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 Milnor-Witt stems over R, Ann. K-Theory 2 (2017) 175–210
- B. J. Guillou and D. C. Isaksen, The η-inverted R-motivic 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 η-local 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