I completed my PhD at Trinity College Dublin under the direction of
Vladimir Dotsenko. My dissertation
is available here.
I completed my undergraduate studies at the University of Buenos Aires, and wrote my thesis under
the direction of Mariano Suárez-Álvarez.
You may know me from math.SE, where I am
a moderator. Here is a picture of myself.
My curriculum vitae is available here. Last updated December 2022.
Research interests
I am interested in homological algebra, homotopical algebra, algebraic homotopy,
effective homology, higher structures, operads, representation theory and combinatorics.
Past activity
I was a postdoctoral researcher in the research group of
Gaetan
Borot. I supervised the Bachelorarbeit of Lea Polonyi (Physics).
Lea successfully defended her thesis titled "Cluster Algebras" on January 30th 2024.
The referees were Gaetan Borot and Ángela Ortega.
I was part of the organizing committee of the 2023 CIMPA School
Crossroads of geometry, representation theory and higher structures,
which took place from March 13th to March 26th 2023 in Puerto Madryn,
Argentina, and which was a great success. More information available
here.
I was a postdoctoral researcher at the non-linear algebra research group
of the MPIMiS in Leipzig from May 2021 to March 2022. During my stay there,
I gave a lecture series titled Algebraic operads,
Koszul duality and Gröbner bases: an introduction
from October 15th 2021 to January, 21st 2022. More
information and lecture notes here.
Publications
Tangent complexes and the Diamond Lemma, with Vladimir Dotsenko.
To appear in Bulletin of Mathematical Sciences.
"We all come from somewhere. We carry that place
with us wherever we go. That never leaves our heart.
Not entirely. But none of us can predict where our
voyage will lead. We may suffer losses along the way.
But we can hope to learn and grow from those experiences
and from those who accompany us in our journey."
Saru in The Sound of Thunder.
"Connection, joy, love, and resurrection: with
these words, the path becomes clear for a moment,
and then disappears. If I have a path I am still
searching for it. We all are. That's how we find our way.
By choosing to walk forward. Together. And if there
is a greater hand leading us into uncertain future
I can only hope it guides us well." Michael
Burnham in Saints of Imperfection.
"We are deeply social and deeply instinctual
animals, so much that our well-being depends on many
things we do that are hard to explain in an intellectual way.
That is why you do well to follow your heart and your passion.
Bare reason is likely to lead you astray. None of us are smart
and wise enough to figure it out intellectually." Bill
Thurston in this MO post.
"Attention is the reader's gift to you. That gift is precious.
And finite. And should you fail to be a respectful steward of
that gift—most commonly, by boring or exasperating your reader—it
will be promptly revoked.
"Once a reader revokes the gift of attention,
you don't have a reader anymore. Then you become
a writer only in the narrowest sense of the word.
Yes, you put words on some pages. But if your reader
has disappeared, what was the point? How is your
writing more valuable than a random string of characters?
Like the proverbial tree falling in the woods,
no one's there to notice the difference."
Matthew Butterick in
his book
on typography.