Daniel A. Ramras

Research Papers Journal links point to freely accessible versions.

The topological Atiyah-Segal map. Submitted version (2022).

(with Clément Guérin and Sean Lawton) Bad Representations and Homotopy of Character Varieties. Ann. H. Lebesgue 5 (2022), 93-140. arXiv:1908.02915

(with Mentor Stafa) Homological stability for spaces of commuting elements in Lie groups. Int. Math. Res. Not. IMRN 2021, no. 5, 3927-4002. arXiv:1805.01368

(with Bernardo Villarreal) Commutative cocycles and stable bundles over surfaces. Forum Math. 31 (2019), no. 6, 1395-1415. arXiv:1807.03736

The homotopy groups of a homotopy group completion. Israel J. Math. 234 (2019), no. 1, 81-124. arXiv:1807.02613

(with Indranil Biswas and Sean Lawton) Wonderful compactification of character varieties. With an appendix by Sam Evens and Arlo Caine. Pacific J. Math. 302 (2019), no. 2, 413-435. arXiv:1703.04431

(with Mentor Stafa) Hilbert-Poincaré series for spaces of commuting elements in Lie groups. Math. Z. 292 (2019), no. 1-2, 591–610. arXiv:1704.05793

Addendum regarding duality for Poincaré polynomials.

(with Bobby Ramsey) Extending properties to relatively hyperbolic groups. Kyoto J. Math. Volume 59, Number 2 (June 2019), 343-356. arXiv:1410.0060

Orbit categories, classifying spaces, and generalized homotopy fixed points. J. Homotopy Relat. Struct. 13 (2018), no. 1, 237-249. arXiv:1507.06112

(with Lisa Jeffrey and Jonathan Weitsman) The prequantum line bundle on the moduli space of flat SU(N) connections on a Riemann surface and the homotopy of the large N limit. Lett. Math. Phys. 107 (2017), no. 9, 1581-1589. arXiv:1411.4360

(with David Pengelley) How efficiently can one untangle a double-twist? Waving is believing! The Mathematical Intelligencer, 39 (2017), no. 1, 27-40. Erratum: Math. Intelligencer 39 (2017), no. 2, 107. Animations

(with Carlos Florentino and Sean Lawton) Homotopy groups of free group character varieties. Ann. Sc. Norm. Super. Pisa Cl. Sci. 17(1) (2017), 143-185. arXiv:1412.0272

(with Indranil Biswas and Sean Lawton) Fundamental groups of character varieties: surfaces and tori. Math. Z. 281 (2015), no. 1-2, 415–425 . arXiv:1412.4389

(with Sean Lawton) Covering spaces of character varieties. With an Appendix by Ho and Liu. New York J. Math. 21 (2015), 383–416. arXiv:1402.0781

(with Thomas Baird) Smoothing maps into algebraic sets and spaces of flat connections. Geom. Dedicata 174 (2015), 359–374. arXiv:1206.3341

(with Romain Tessera and Guoliang Yu) Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory. J. reine angew. Math. (Crelle's Journal) 694 (2014), 129-178. Addendum: J. reine angew. Math. 746 (2019), 305–310. arXiv:1111.7022

Periodicity in the stable representation theory of crystallographic groups. Forum Math. 26 (2014), no. 1, 177-219. arXiv:1007.0406

(with Rufus Willett and Guoliang Yu) A finite dimensional approach to the strong Novikov conjecture. Algebr. Geom. Topol. 13 (2013). arXiv:1203.6168

Invariant tubular neighborhoods in infinite-dimensional Riemannian geometry, with applications to Yang-Mills theory. Arch. Math. (Basel) 96 (2011) no. 6, 589-599. arXiv:1006.0063

On The Yang-Mills stratification for surfaces. Proc. Amer. Math. Soc. 139 (2011), no. 5., 1851-1863.

(with Nan-Kuo Ho and Chiu-Chu Melissa Liu) Orientability in Yang-Mills Theory over Nonorientable Surfaces. Communications in Analysis and Geometry 17 (2009), no. 5, 903-954. arXiv:0810.4882

The stable moduli space of flat connections over a surface. Trans. Amer. Math. Soc. 363 (2011), no. 1, 1061-1100. arXiv:0810.4882

Yang-Mills theory over surfaces and the Atiyah-Segal theorem. Algebraic & Geometric Topology 8 (2008) 2209-2251. arXiv:0710.0681

Excision for deformation K-theory of free products. Algebraic & Geometric Topology 7 (2007) 2239-2270. arXiv:math/0703463

Stable Representation Theory of Infinite Discrete Groups. This is the final version of my Ph.D. thesis.

Connectivity of the coset poset and the subgroup poset of a group. J. Group Theory 8 (2005), no. 6, 719-746. arXiv:math/0210001

Connectivity of the coset poset. Senior Honors Thesis, Cornell University (2002). arXiv:math/0208176

(with Anant Godbole and Sam Greenberg) Cliques and independent neighbor sets in random graphs. Proceedings of the Thirty-second Southeastern International Conference on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, 2001). Congr. Numer. 153 (2001), 113-128.

Portions of this material are based upon work supported by the Simons Foundation (Collaboration Grants 279007 and 579789) and the National Science Foundation (Grants No. DMS-0804553, DMS-1057557, and DMS-0968766). Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the Simons Foundation or the National Science Foundation (NSF).