• Log intersection theory:
  • The Log Product Formula arXiv (2019), Algebra and Number Theory (2023). Bibtex
  • The Log Product Formula in Quantum K-theory with You-Cheng Chou and Y.P. Lee arXiv (2020), Cambridge Philosophical Society (2023). Bibtex
  • Logarithmic Hochschild co/homology via formality of derived intersections with Márton Hablicsek and Francesca Leonardi arXiv (2023). Bibtex
• Gromov-Witten theory:
  • Costello's Pushforward Formula: Errata and Generalization with Jonathan Wise arXiv (2021), Manuscripta Mathematica (2022). Bibtex
  • Higher Genus Quantum K-theory with You-Cheng Chou and Y.P. Lee arXiv (2023). Bibtex
• Deformation theory:
  • Deformations of Modules Through Butterflies and Gerbes arXiv (2017), Journal of Pure and Applied Algebra (2020). Bibtex
  • Deformations of Algebras with 2-Extensions arXiv (2022). Bibtex
• Number theory:
  • The Scheme of Monogenic Generators I: Representability. with Sarah Arpin, Sebastian Bozlee, and Hanson Smith arXiv (2022). Research in Number Theory (2023). Bibtex
  • The Scheme of Monogenic Generators II: Local Monogenicity and Twists. with Sarah Arpin, Sebastian Bozlee, and Hanson Smith arXiv (2022). Research in Number Theory (2023). Bibtex
• Log jet spaces:
  • The log tangent space of the log jet space. arXiv (2022). Accepted in the Michigan Mathematical Journal. Bibtex

Here is a talk I gave at Frankfurt in a log geometry conference. It's an introduction to log geometry, virtual fundamental classes, and the ``log intersection theory'' I developed in my thesis.

Jonathan Wise, Y.P. Lee, David Holmes, Rahul Pandharipande, Márton Hablicsek, Sam Molcho, Sebastian Bozlee, Patrick McFaddin, Andrew Kobin, Hanson Smith, Sarah Arpin, You-Cheng Chou, Francesca Leonardi ...

If you're a student, our class materials are online. Don't hesitate to contact me with any questions, either through email or the anonymous google form. There's no such thing as a stupid question!

I made a linear algebra review website with problems to help students practice. I'm passionate about teaching and believe the best way for students to master material is to do lots of practice problems, ideally with friends and classmates. The site also provides latex for instructors who would like to use it to write problems. It's under construction. Please contact me if you have feedback about the site.

I have years of experience teaching and designing courses for all levels of math. I've taught Calculus 1, 2, and 3, Introduction to Number theory, Modern Algebra 2 (Rings, Modules, Fields), Linear Algebra, and more. For details, see my Curriculum Vitae.

If you would like me to write you a recommendation letter, please contact me at least a month in advance of the deadline. We can determine whether I would be a good fit for a recommendation letter. I will need you to fill out this form (adapted from Dhruv Ranganathan) and email me:

• CV
• Undergraduate Students: transcript (an unofficial one is perfectly fine)
• Undergraduate Students: a list of your mathematics classes and a short description of the classes themselves (i.e. don't make me look up what Math 380 at your university is, just tell me you took abstract algebra)
• Research statement.
• copies of any papers or theses you have written, or working links.

Some students I had the privilege of working with made excellent summary projects for algebra-related topics. They may serve as gentle undergraduate-friendly introductions to topics of interest.

• Sheaves and Cech Cohomology
• Topology, fundamental groups, and category theory
• Cryptography
• p-adic numbers
• Math and Music Theory
• Tensors and Homology

Beware typos/errors.

I'm passionate about math outreach, especially to high school and college students, underrepresented minorities and gender identities, socio-economically disadvantaged people, and anyone enthusiastic about math. This passion led me to invent and run an extracurricular ``Math Kids'' program, teaching high school and undergraduate students from all walks of life advanced graduate math on an informal, weekly basis from 2015-2018. I recruited some students through the Boulder Valley School District Mentor Program.

Topics: Topology, Algebra, Differential Geometry, Algebraic Geometry, Category Theory, and some Analysis.

Alumni include: William Warfield, Sean Riedel, Sam McCrosson, Jesse Franklin, Ryan Mike, Poramate "Pao" Nakkirt, Zach Fox, James Stephan, ...

Visit my personal page for more about Leo Herr.