Jacob Laubacher

Biography

Before coming to Hillsdale, I was a professor at St. Norbert College for eight years. I got my advanced degrees so that I can be a collegiate educator, and teaching classes involving theory and proof is a personal favorite of mine. However, mathematical research turned out to be pretty fun too.

My research interest lies in algebra. At Bowling Green, I worked under the direction of Mihai D. Staic where we investigated generalizations of the Hochschild and cyclic (co)homologies. I have more recently delved into group theory, character theory, and representation theory.

When I’m not doing math, I enjoy running, reading, and knitting. I’m also an avid fan of both the Oxford comma and the Cleveland Browns. I am obsessed with card games, desserts, and quality furniture.

Education

Ph.D., Mathematics, Bowling Green State University, 2017
M.A., Pure Mathematics, Kent State University, 2013
B.S., Mathematics, Ohio Dominican University, 2010

Memberships

American Mathematical Society

Research Interests

Group Theory
Homological Algebra

Recent Publications

A family of graphs that cannot occur as character degree graphs of solvable groups. Beitr. Algebra Geom., 66(3):727–738, 2025 (with Mark W. Bissler and Mark L. Lewis).

Secondary Hochschild cohomology and derivations. Bull. Iranian Math. Soc., 49(4):Paper No. 49, 11 pp., 2023 (with Kylie Bennett and Elizabeth Heil).

Secondary Hochschild homology and differentials. Mediterr. J. Math., 20(1):Paper No. 52, 11 pp., 2023.

On prime character degree graphs occurring within a family of graphs (II). Comm. Algebra, 50(8):3307–3319, 2022 (with Sara DeGroot and Mark Medwid).

Simplicial structures over the 3-sphere and generalized higher order Hochschild homology. Categ. Gen. Algebr. Struct. Appl., 15(1):93–143, 2021 (with Samuel Carolus).

A simplicial construction for noncommutative settings. Homology Homotopy Appl., 23(1):49–60, 2021 (with Samuel Carolus and Mihai D. Staic).

On prime character degree graphs occurring within a family of graphs. Comm. Algebra, 49(4):1534–1547, 2021 (with Mark Medwid).

Courses Taught

MTH 120: Calculus I
MTH 220: Calculus II
MTH 320: Multivariable Calculus
MTH 370: Theory of Probability
MTH 403: Real Analysis
MTH 405: Complex Analysis
MTH 410: Abstract Algebra
MTH 430: Topology