nLab Alastair Hamilton

Alastair Hamilton is a mathematician at Texas Tech.

• personal page

• MathGenealogy page

Selected writings

On string topology operations in the generality of (the homology of loop spaces of) Poincaré duality spaces:

• Alastair Hamilton, Andrey Lazarev: Symplectic $A_\infty$-algebras and string topology operations, Amer. Math. Soc. Transl. 224 2 (2008) 147–157 [arXiv:0707.4003]

On the integer Heisenberg group describing the phase space of abelian Chern-Simons theory on closed Riemann surfaces (and its relation to skein relations and theta functions):

• Răzvan Gelca, Alastair Hamilton: Classical theta functions from a quantum group perspective, New York J. Math. 21 (2015) 93–127 [arXiv:1209.1135, nyjm:j/2015/21-4]

• Răzvan Gelca, Alastair Hamilton: The topological quantum field theory of Riemann’s theta functions, Journal of Geometry and Physics 98 (2015) 242-261 [doi:10.1016/j.geomphys.2015.08.008, arXiv:1406.4269]

On a kind of BV-quantization of the Loday-Quillen-Tsygan theorem and relating to the large $N$-limit of Chern-Simons theory:

• Grégory Ginot, Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian, Large $N$ phenomena and quantization of the Loday-Quillen-Tsygan theorem, Adv. Math. 409A (2022) 108631 [arXiv:2108.12109, doi:10.1016/j.aim.2022.108631]

• Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian, A homological approach to the Gaussian Unitary Ensemble [arXiv:2206.04256]

On effective noncommutative field theory and the large N limit:

• Alastair Hamilton: Noncommutative effective field theories and the large $N$ correspondence [arxiv:2505.13678]

See also:

• On the extension of a TCFT to the boundary of the moduli space. arXiv/1002.2670.

• Cohomology theories for homotopy algebras and noncommutative geometry (with A. Lazarev). Algebr. Geom. Topol. 9 (2009), 1503–1583, arxiv/0707.3937

• Classes on compactifications of the moduli space of curves through solutions to the quantum master equation. Lett. Math. Phys. 89 (2009), no. 2, 115–130.

• Noncommutative geometry and compactifications of the moduli space of curves. Journal of Noncommutative Geometry 4, 2, pp. 157–188, 2010, arXiv/0710.4603

• Graph cohomology classes in the Batalin-Vilkovisky formalism (with A. Lazarev). J. Geom. Phys. 59 (2009), no. 5, 555–575, arxiv/0701825

• Characteristic classes of A-infinity algebras (with A. Lazarev). J. Homotopy Relat. Struct. 3 (2008), no. 1, 65–111, math.QA/0608395

• Symplectic C-infinity algebras (with A. Lazarev). Mosc. Math. J. 8 (2008), no. 3, 443–475, 615, arxiv/0707.3951

• A super-analogue of Kontsevich’s theorem on graph homology. Lett. Math. Phys. 76 (2006), no. 1, 37–55, math.QA/0510390

• On the classification of Moore algebras and their deformations. Homology, Homotopy Appl. 6 (2004), no. 1, 87–107, math.QA/0304314

• Homotopy algebras and noncommutative geometry (with A. Lazarev). math.QA/0410621

Related entries

• Stone-von Neumann theorem

category: people