Christopher L. Rogers

activity

20002025

most citedA Geometric Formulation of Quantum Stress Fields

135 citations · 458 across the 20 of their papers we have counts for

collaborators

26 papers

math.AT2025

Higher differentiation via higher formal groupoids

Christopher L. Rogers

We solve the differentiation problem for Lie $\infty$ -groups. Our approach builds on a classical version of Cartier duality which canonically identifies the Hopf algebra of point d…

math.RA2024

Lie's Third Theorem for Lie $\infty$ -Algebras

Christopher L. Rogers, Jesse Wolfson

We introduce the theory of local minimal models for Kan simplicial manifolds, which provide the appropriate generalization of minimal Kan simplicial sets to geometric contexts. We…

math.QA2022★ 1 cited

On the Goldman-Millson theorem for $A_{\infty}$ -algebras in arbitrary characteristic

Alex Milham, Christopher L. Rogers

Complete filtered $A_{\infty}$ -algebras model certain deformation problems in the noncommutative setting. The formal deformation theory of a group representation is a classical examp…

math.AT2020

Complete $L_{\infty}$ -algebras and their homotopy theory

Christopher L. Rogers

We analyze a model for the homotopy theory of complete filtered $L_{\infty}$ -algebras intended for applications in algebraic and algebro-geometric deformation theory. We provide an e…

math.AT2020

Which homotopy algebras come from transfer?

Martin Markl, Christopher L. Rogers

We characterize $A_{\infty}$ -structures that are transfers over a chain homotopy equivalence or a quasi-isomorphism, answering a question posed by D. Sullivan. Along the way, we pres…

math.AT2018★ 8 cited

An explicit model for the homotopy theory of finite type Lie $n$ -algebras

Christopher L. Rogers

Lie $n$ -algebras are the $L_{\infty}$ analogs of chain Lie algebras from rational homotopy theory. Henriques showed that finite type Lie $n$ -algebras can be integrated to produce cer…

Higher differentiation via higher formal groupoids

Lie's Third Theorem for Lie ∞-Algebras

On the Goldman-Millson theorem for A∞​-algebras in arbitrary characteristic

Complete L∞​-algebras and their homotopy theory

Which homotopy algebras come from transfer?

An explicit model for the homotopy theory of finite type Lie n-algebras

Lie's Third Theorem for Lie $\infty$ -Algebras

On the Goldman-Millson theorem for $A_{\infty}$ -algebras in arbitrary characteristic

Complete $L_{\infty}$ -algebras and their homotopy theory

An explicit model for the homotopy theory of finite type Lie $n$ -algebras