I am currently a postdoctoral researcher at the research group of
Gaetan Borot.
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 March 2022.
Research interests
I am interested in homological algebra, homotopical algebra, algebraic homotopy,
effective homology, higher structures, operads, representation theory and combinatorics.
News
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.
Viva Talbot!
A virtual Talbot Workshop retrospective. 1-6 June 2021, organized by Calista Bernard, Yajit Jain, Morgan Opie, Lucy Yang.
Cellular E_k-Algebras (hybrid meeting), at the Oberwolfach Institute. 23-29 May 2021, organized by Søren Galatius, Alexander Kupers and Oscar Randal-Williams.
Opening Workshop of the Higher Homotopical Structures programme, at the Centre de Recerca Matemàtica (Bellaterra, Barcelona). 1-12 February 2021, organized by Imma Gálvez Carrillo.
Higher Homotopy Algebras in Topology 2, 4-6 March 2020, Hamilton Mathematics Institute, Trinity College Dublin. I talked about my joint work with A. Khoroshkin, Derived Poincaré--Birkhoff--Witt theorems.
Differential operators of higher order and their homotopy trivializations, at the Topology Seminar (University of Minnesota), organized by Calista Bernard and Alexander Voronov, November 2021.
Differential operators of higher order and their homotopy trivializations, at the Mathematics Seminar, organized by Sergei Merkulov, November 2021.
Minimal models for monomial algebras,
LAGOON Seminar, organized by Frank Neumann and Sybille Schroll, October 2021.
Poincaré--Birkhoff--Witt theorems: homotopical and effective methods for universal envelopes.,
Algebra, Geometry and Physics seminar, organized by the MPIM Bonn and Humboldt Universität, March 2021.
Tangent complexes and the Diamond lemma.Opening Workshop of the Higher Homotopical Structures programme, at the Centre de Recerca Matemàtica (Bellaterra, Barcelona), organized by Imma Gálvez Carrillo. Recording available here.
Poincaré--Birkhoff--Witt theorems: homotopical and effective methods for universal envelopes. Algebra and topology seminar at the
University of Copenhagen.
Differential forms for smooth affine algebras over operads.EPFL Topology Seminar. November 2020.
Koszul duality in algebraic operads. Deformation theory reading seminar at the University of Chicago. October 2020.
Algebraic operads. Homological algebra seminar at the University of Buenos Aires. July 2020. Part II.
For more information about Funktionentheorie (SoSe 2022), please
consult the Moodle webpage.
Please email me if you need the access key using your institutional email.
Past teaching
I was teacher assistant and/or graded for the following courses in Trinity College Dublin.
"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.
