Manuel Rivera

Purdue University West Lafayette — United States

Mathematics · Physical Sciences

4h-index83citations40works0.22yr avg
OpenAlex↗ORCID↗Google Scholar↗Lab page↗

Accepting Students?

No reports yet. Know if this professor is taking students?

Research Topics

Homotopy and Cohomology in Algebraic Topology(34), Algebraic structures and combinatorial models(26), Advanced Topics in Algebra(19), Nonlinear Waves and Solitons(6), Black Holes and Theoretical Physics(2)

Publications40 total

Comparing dg category models for path spaces via $A_\infty$-functors
arXiv (Cornell University)·2025Open Access
String topology via the coHochschild complex and local intersections
arXiv (Cornell University)·2025Open Access
Equivariant homotopy theory via simplicial coalgebras
Proceedings of the American Mathematical Society·2025
Equivariant Homotopy Theory via Simplicial Coalgebras
arXiv (Cornell University)·2024Open Access
Koszul duality and Calabi-Yau structures
arXiv (Cornell University)·2024Open Access
The Simplicial Coalgebra of Chains Under Three Different Notions of Weak Equivalence
International Mathematics Research Notices·2024· 2 cited
Cyclic homology of categorical coalgebras and the free loop space
arXiv (Cornell University)·2024Open Access
Adams’ cobar construction as a monoidal -coalgebra model of the based loop space
Forum of Mathematics Sigma·2024Open Access
An algebraic model for the free loop space
Contemporary mathematics - American Mathematical Society·2024
String topology in three flavors
EMS Surveys in Mathematical Sciences·2023· 3 citedOpen Access
Algebraic string topology from the neighborhood of infinity
arXiv (Cornell University)·2023· 1 citedOpen Access
A detailed look at the Szczarba map
arXiv (Cornell University)·2023Open Access
Categorical models for path spaces
Advances in Mathematics·2023· 4 cited
An algebraic model for the free loop space
arXiv (Cornell University)·2022Open Access
The simplicial coalgebra of chains under three different notions of weak equivalence
arXiv (Cornell University)·2022· 1 citedOpen Access
Invariance of the Goresky–Hingston algebra on reduced Hochschild homology
Proceedings of the London Mathematical Society·2022· 5 cited
String topology in three flavours
arXiv (Cornell University)·2022Open Access
Categorical models for path spaces
arXiv (Cornell University)·2022· 2 citedOpen Access
Adams' cobar construction revisited
Documenta Mathematica·2022· 3 citedOpen Access
The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time
Transactions of the American Mathematical Society·2021· 1 cited
page 1 of 2Next →

Frequent Co-authors

Mahmoud Zeinalian(13), Zhengfang Wang(5), Felix Wierstra(5), Emilio Minichiello(3), Anibal M. Medina-Mardones(3), Florian Naef(2), Nathalie Wahl(2), George Raptis(2), Alex Takeda(2), Sofía Martínez Alberga(2), Robertico Croes(1), Kelly J. Semrad(1), Daniel Tolosa(1), Samson Saneblidze(1), Julian J. Holstein(1), Daniel Campos(1), María Amelia Salazar(1), José Alejandro Samper(1), José Simental Rodriguez(1), Soledad Villar(1)