Andrés R. Vindas Meléndez
banner
arvm.bsky.social
Andrés R. Vindas Meléndez
@arvm.bsky.social
Mathematician & Educator | Assistant Professor at Harvey Mudd College
The Mathematical Connections Seminar is something I have started and organized since coming to Harvey Mudd. If you’re ever in the area and would love to speak at the MCS, please reach out!
As part of a seminar hosted by HMC's math dept., dept. chair & math prof. Mike Orrison discussed how simple ideas from linear algebra & discrete mathematics can be used to unify different voting procedures, leading to new insights & new questions in voting theory. Photos by Lindsey Sands ’27.
October 31, 2025 at 12:26 AM
Combinatorics friends and math friends in/near Pittsburgh, I invite you to attend "Combinatorics at the Confluence" July 2026! #MathSky

Jul 20-22, Carnegie Mellon University, Pittsburgh, PA, Combinatorics at the Confluence

combcon.github.io
Combinatorics at the Confluence • July 20–22, 2026 • Carnegie Mellon University
Conference website for Combinatorics at the Confluence, July 20–22, 2026 at Carnegie Mellon University, Pittsburgh.
combcon.github.io
October 16, 2025 at 3:49 PM
Reposted by Andrés R. Vindas Meléndez
HMC mathematics professor @arvm.bsky.social has received an NSF grant that will fund geometric combinatorics research. Vindas Meléndez & his students will collaborate on original problems, many drawn from Ehrhart theory, which studies the properties of polytopes. uqr.to/nsf-gcr.
October 6, 2025 at 9:46 PM
Hey, it's me :)

NSF Grant Funds Geometric Combinatorics Research at @hmc.edu ! #MathSky

www.hmc.edu/about/2025/0...
NSF Grant Funds Geometric Combinatorics Research at Harvey Mudd College | Harvey Mudd College News | Harvey Mudd College
www.hmc.edu
September 18, 2025 at 7:51 PM
Happy to have had friends and colleagues from Harvey Mudd, Pomona College, and Cal Poly Pomona over at my house to welcome my friend, Federico Ardila, to the area!
September 16, 2025 at 5:48 AM
If you're in the Los Ángeles area, join us at @hmc.edu for this year's Moody Lecture on September 16! This year's speaker is my dear friend and mentor, Federico Ardila-Mantilla.

For more information: www.hmc.edu/mathematics/...

#mathsky
August 27, 2025 at 2:47 AM
Reposted by Andrés R. Vindas Meléndez
Friends, the mathematics department @hmc.edu is looking to hire a new tenure-track operations researcher who would feel at home in our department. Please spread the word: math.hmc.edu/tenure-track...
August 20, 2025 at 10:39 PM
We are hiring in Operations Research at @hmc.edu! If you or someone you know is on the job market, please consider applying: math.hmc.edu/tenure-track...
Tenure Track (Operations Research) – Harvey Mudd College Mathematics
math.hmc.edu
August 11, 2025 at 9:51 PM
Today was our last day of our research experience and I am extremely proud of my summer research students @hmc.edu!

Group one (Tito Cuchilla ‘26, Joseph Hound @claremontgraduateu.bsky.social, Cole Plepel ‘27, Louis Ye ‘27)

Group two (Cameron Ake ‘28, Spencer Lewis ‘28, Amanda Louie ‘28)
August 1, 2025 at 8:06 PM
New preprint announcement! This is my FIRST paper with @hmc.edu students and a @claremontgraduateu.bsky.social grad student! Very proud of this paper and the students who worked with me this summer.

“Equivariant volumes of symmetric edge polytopes”
arxiv.org/abs/2507.18846
Equivariant volumes of symmetric edge polytopes
The symmetric edge polytope ($\mathrm{SEP}$) of a finite simple graph $G$ is a centrally symmetric lattice polytope whose vertices are defined by the edges of the graph. Among the information encoded ...
arxiv.org
July 28, 2025 at 3:42 PM
Reposted by Andrés R. Vindas Meléndez
ok i am aggressively not a sports person, but this story by @dodecalemma.bsky.social is so cool! and the graphics were fun to work on :) www.scientificamerican.com/article/the-...
The Surprising Math and Physics behind the 2026 World Cup Soccer Ball
Here’s how the new tetrahedron-based design for the “Trionda” soccer ball may affect next year’s big game
www.scientificamerican.com
July 25, 2025 at 9:35 PM
Reposted by Andrés R. Vindas Meléndez
Squirrels LOVE octahedra.
July 22, 2025 at 2:18 PM
Reposted by Andrés R. Vindas Meléndez
What is your favorite shape & why? For HMC math prof
@arvm.bsky.social it's a permutahedron, a symmetrical, convex polytope that exhibits many special properties. Read more about Vindas Meléndez's favorite shape & the key it holds to big mathematical mysteries on @sciam.bsky.social. uqr.to/arvm-sm.
June 26, 2025 at 11:39 PM
Reposted by Andrés R. Vindas Meléndez
Yuan Zhou talks at the #mip2025 about how to estimate the solid angle of d-dimensional cones, which corresponds to the proportion of Rd occupied by them, and which does not has a known closed formula for d > 3.

1/N
June 5, 2025 at 9:13 PM
Reposted by Andrés R. Vindas Meléndez
Seems like today was a good day to be too busy to check social media during work hours
June 5, 2025 at 10:08 PM
Reposted by Andrés R. Vindas Meléndez
#MathSky there's a new online open-access (and free) journal for mathematics and fiber arts: Interlace. Now accepting manuscripts! Editors-in-Chief: sarah-marie belcastro and Carolyn Yackel. 🧶
www.interlace-journal.org
<em>Interlace</em> home page
Interlace: A Journal of Mathematics and Fiber Arts
www.interlace-journal.org
May 24, 2025 at 5:10 PM
Happy Star Wars day! May the Fourth be with you!
foxtrot.com/2025/05/04/a...
A New Definition of Pain
FoxTrot by Bill Amend | May 4, 2025
foxtrot.com
May 4, 2025 at 4:43 PM
Reposted by Andrés R. Vindas Meléndez
New release of 4ti2, the package for algebraic, geometric and combinatorial problems on linear spaces. This is a maintenance release with no new features.
github.com/4ti2/4ti2/re...
#FOSS #MathSky
Release Release_1_6_11 · 4ti2/4ti2
What's Changed .github/workflows/ci-sage.yml: Update, use passagemath, remove cygwin by @mkoeppe in #45 Modernize the build system / drop support for old toolchains by @orlitzky in #44 New Contr...
github.com
April 30, 2025 at 11:11 PM
New paper with awesome collaborators!
"The Ehrhart polynomial of a matroid specializes to the beta invariant" with Anastasia Chavez (SMC), Galen Dorpalen-Barry (Texas A&M), Luis Ferroni (IAS & UniPi), Fu Liu (UC Davis), and Felipe Rincón (QMUL). #mathsky
arxiv.org/abs/2504.15518
The Ehrhart polynomial of a matroid specializes to the beta invariant
We show that the linear coefficient of the Ehrhart polynomial of a matroid base polytope evaluated at $t-1$ is equal to, up to normalization, the $β$-invariant of the matroid. This yields a lattice-po...
arxiv.org
April 23, 2025 at 6:36 PM
Reposted by Andrés R. Vindas Meléndez
HMC mathematics professor @arvm.bsky.social has co-authored a paper on polynomial properties in polyhedral geometry. Read the full article about Vindas Meléndez's paper on the behavior of local h-polynomials on our news page. uqr.to/hmc-arvm.
April 8, 2025 at 9:25 PM
Reposted by Andrés R. Vindas Meléndez
Profs. @haydeelindo.bsky.social, @jamiehadd.bsky.social & Talithia Williams share the Institute for Data Science and Social Impact, which will foster interdisciplinary collaboration, advance data science research, & create pathways to apply data-informed methods to real-world issues. uqr.to/iap-dssi
April 4, 2025 at 7:01 PM
Reposted by Andrés R. Vindas Meléndez
HMC mathematics professor @jamiehadd.bsky.social has been awarded a CAREER grant from the NSF. The grant supports Haddock's desire to be a mentor and increase access in data science for groups that have been historically excluded from research mathematics. uqr.to/haddock-career.
March 27, 2025 at 9:19 PM
Reposted by Andrés R. Vindas Meléndez
This week, I recorded 4 new #VisualAlgebra YouTube videos on group actions. I heavily use the following concepts:

1. G-sets
2. Action graphs
3. Group switchboards
4. Fixed point tables.

Interested? I'll give you a preview here. Please share!

#MathSky 🧵👇1/16
March 22, 2025 at 9:24 PM
Reposted by Andrés R. Vindas Meléndez
My submission for Day 15 of
@ayliean.bsky.social's #MathArtMarch: Triangle!
March 15, 2025 at 10:40 PM
Reposted by Andrés R. Vindas Meléndez
My submission for Day 17 of
@ayliean.bsky.social's #MathArtMarch: Symmetry!
March 17, 2025 at 8:01 PM