# Papers and Preprints

- with Padmavathi Srinivasan An Arithmetic Count of the Lines Meeting Four Lines in P3, October 8, 2018.
- with Rachel Davis, and Rachel Pries The Galois Action on the Lower Central Series of the Fundamental Group of the Fermat Curve, August 14, 2018.
- with Jesse Kass An Arithmetic Count of the Lines on a Smooth Cubic Surface, last updated: August 21, 2018.
- with Jesse Kass An Etale Realization Functor Which Does Not Exist, New Directions in Homotopy Theory, proceedings of the second Mid-Atlantic Topology Conference, edited by N. Kitchloo, M. Merling, J. Morava, E. Riehl, W.S. Wilson, Contemporary Mathematics, Volume 707, p.11-31, 2018.
- with Rachel Davis, Rachel Pries, and Vesna Stojanoska The Galois Action and Cohomology of a Relative Homology Group of Fermat Curves, J. Algebra 505, 2018, p.33-69.
- with Jesse Kass The Class of Eisenbud–Khimshiashvili–Levine is the Local A1-Brouwer Degree, to appear in Duke Mathematical Journal, September 9, 2016.
- with Jesse Kass A1-Milnor number, Oberwolfach Report 35(2016), 19 August, 2016.
- Massey Products <y,x,x,…,x,x,y> in Galois Cohomology via Rational Points, Journal of Pure and Applied Algebra, Volume 221, Issue 7, July 2017, pages 1845-1866. Journal of Pure and Applied Algebra's special issue in honor of Chuck Weibel, edited by Guillermo Cortiñas, Eric Friedlander, and Christian Haesemeyer. Available on-line at https://authors.elsevier.com/a/1UgGo562D4z7E. March 14, 2016.
- with Jesse Kass A Classical Proof that the Algebraic Homotopy Class of a Rational Function is the Residue Pairing, February 29, 2016.
- with Aravind Asok and Ben Williams The Simplicial Suspension Sequence in A1-homotopy, Geometry & Topology 21-4 (2017), 2093–2160. DOI 10.2140/gt.2017.21.2093. July 17, 2015.
- Desuspensions of S
^{1}/\ P^{1}_{Q}-{0,1,infty}, special issue VBAC 2014 of the International Journal of Mathematics, edited by Oscar Garcia-Prada, Dirk Kreimer, Peter Newstead, Holger Reich and Alexander Schmitt, International Journal of Mathematics, June 2016, Vol. 27, No. 07. doi: 10.1142/S0129167X16400103. - with Ben Williams The Simplicial EHP Sequence in A1-Algebraic Topology, accepted for publication in Geometry & Topology, last updated: June 5, 2018.
- with Rachel Davis, Rachel Pries, and Vesna Stojanoska Galois Action on the Homology of Fermat Curves Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, edited by Ellen E. Eischen, Ling Long, Rachel Pries, and Katherine E. Stange, Association for Women in Math Series Volume 3, Springer International Publishing Switzerland 2016, ISBN 978-3-319-30974-3, pg 57-87.
- with Julie E. Bergner, Ruth Joachimi, Kathryn Lesh, and Vesna Stojanoska Classification of Problematic Subgroups of U(n) to appear in Transactions of the AMS, September 18, 2017.
- with Julie E. Bergner, Ruth Joachimi, Kathryn Lesh, and Vesna Stojanoska Fixed points of p-toral groups acting on partition complexes Contemporary Math. 641 Women in Topology: Collaborations in Homotopy Theory: August 18-23, 2013, Maria Basterra, Kristine Bauer, Kathryn Hess, and Brenda Johnson editors, AMS, 2015. May 26, 2014.
- with Jesse Kass An Abel map to the compactified Picard scheme realizes Poincaré duality Algebraic & Geometric Topology 15-1 (2015), 319–369. DOI 10.2140/agt.2015.15.319 . August 21, 2014.
- Cartier's first theorem for Witt vectors on Z
^{n}_{>=0}Algebraic Topology: Applications and New Directions, Stanford Symposium 2012, Ulrike Tillmann, Soren Galatius, Dev Sinha editors, Contemporary Mathematics 620, AMS, 2014. November 20, 2013. - with Michael Hopkins Splitting Varieties for Triple Massey Products Journal of Pure and Applied Algebra 219 (2015), pp. 1304-1319. Available online 21 June 2014. (DOI)10.1016/j.jpaa.2014.06.006. May 29, 2014.
- n-Nilpotent obstructions to pi
_{1}sections of P^{1}-{0,1,infty} and Massey products, Advanced Studies in Pure Mathematics 63, 2012, Proceedings for Conferences in Kyoto (October 2010), Galois-Teichmueller theory and Arithmetic Geometry, H. Nakamura, F. Pop, L. Schneps, A. Tamagawa eds., pp. 579-600. February 21, 2012. - 3-Nilpotent obstructions to pi
_{1}sections for P^{1}_{Q}-{0,1,infty}, The Arithmetic of Fundamental Groups - PIA 2010, ed. Jakob Stix, Contributions in Mathematical and Computational Sciences, Vol 2., Springer-Verlag Berlin Heidelberg, 2012. July 18, 2011. - 2-Nilpotent Real Section Conjecture, Mathematische Annalen: Vol. 358, Issue 1 (2014), pp. 361-387. (DOI) 10.1007/s00208-013-0967-5. December 24, 2012.
- with Ravi Vakil, Universal Covering Spaces and Fundamental Groups in Algebraic Geometry as Schemes. Journal de Theorie des Nombres de Bordeaux, 23 no. 2 (2011), p. 489-526. July 18, 2011.
- Lower Central Series Obstructions to Homotopy Sections of Curves over Number Fields, thesis. July 21, 2009.
- An older paper: with Sarah Iams, Brian Katz, Cesar E. Silva, and Brian Street, On Weakly Mixing and Doubly Ergodic Nonsingular Actions, Colloq. Math 103 (2005),
*no. 2*, 247-264. (From the SMALL Research Experience for Undergraduates at Williams College.)