Resources
Curated for early-career researchers in operator theory and complex analysis. Some entries carry over from the original OTTER site; suggest additions at ottermathtalks@gmail.com.
Learning the field
- Operator Theory by Example — Garcia, Mashreghi & Ross (Oxford). The gentlest serious entry point; Bill Ross introduces it in our archived talk.
- An Introduction to Operators on the Hardy–Hilbert Space — Martínez-Avendaño & Rosenthal (Springer).
- Pick Interpolation and Hilbert Function Spaces — Agler & McCarthy (AMS). The community’s core reference.
- An Introduction to the Theory of Reproducing Kernel Hilbert Spaces — Paulsen & Raghupathi (Cambridge).
- Introduction to Model Spaces and their Operators — Garcia, Mashreghi & Ross (Cambridge).
- Bounded Analytic Functions — Garnett (Springer).
- “Dilation theory: a guided tour” — Shalit’s survey; pairs well with Michael Hartz’s archived talk.
- Hilbert Spaces: A Sequel to Linear Algebra — Ryan Tully-Doyle’s free open textbook.
- A Short History of Operator Theory — quick historical orientation.
Staying current
- arXiv new-paper feeds: math.FA · math.CV · math.OA · math.SP
- researchseminars.org — global calendar of online seminars, filterable by subject.
- FOCAHA — Forum of Complex and Harmonic Analysis: events and community hub.
- Fields Focus Program on Analytic Function Spaces — recorded minicourses worth a full watch.
Conferences
- IWOTA 2026 — Université Laval, Québec City, August 3–7, 2026; an ICM satellite this year. The field’s flagship meeting.
- GPOTS 2026 — University of Iowa, May 26–30, 2026; the big US operator algebras and operator theory symposium.
- SEAM — the Southeastern Analysis Meeting series; SEAM 43 (2027) location TBA.
- Joint Mathematics Meetings — where OTTER conference meet-ups begin in 2027.
Jobs & careers
- MathJobs.org — the main academic math job board.
- Broader nets: AcademicJobsOnline · MAA Math Classifieds · HERC · HigherEdJobs
- NSF Mathematical Sciences Postdoctoral Research Fellowships — the math postdoc fellowship.
- AMS–Simons Travel Grants and AMS Mathematics Research Communities — early-career funding and cohort programs.
- A guide for mathematics graduate students (PDF) — navigating grad school, from application to defense.
- Project NExT — MAA’s professional development program for new faculty.
Community & mentoring
- Operator Algebras Mentor Network — structured mentoring in operator algebras and adjacent fields.
- GOFIO — young researchers in complex analysis and operator theory, mostly at Spanish universities, with a periodic online seminar plus grant and job pointers. A sibling community to OTTER.
- SUBgroups — small online peer groups for first-year math grad students.
- paraDIGMS — AMS initiative on diversity in graduate mathematical sciences.
- MathOverflow · AWM · NAM · Spectra
En español / Latin America
- Sociedad Matemática Mexicana · UMALCA — regional societies, supporting OTTER’s Latin America outreach. Más recursos en español llegan con la sección en español del sitio.
Software
- SageMath and CoCalc — open-source computation, locally or in the browser.
- GNU Octave — free MATLAB alternative.
- NCAlgebra — noncommutative algebra in Mathematica; dear to free analysis.
- QETLAB — quantum information toolbox for MATLAB.
- A video introduction to Mathematica — by Ryan Tully-Doyle.