Talks and Presentations
Invited Talks
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19.
Reflection of stationary sets and GDST
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August 2020. Young Set Theory Workshop 2020. Novi Sad, Serbia.
Conference
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18.
The isomorphism relation of unsuperstable theories in the generalized Borel-reducibility
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April 26th, 2022. KGRC Set Theory Research Seminar. Vienna, Austria.
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17.
How complex are mathematical theories? [ESP]
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March 14th 2022. Internnational Day of Mathematics 2022. Bogota, Colombia.
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Slides
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Event
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16.
K-colorable linear orders and unsuperstable theories
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February 23th 2022. Helsinki Logic Seminar - Minisymposium. Helsinki, Finland.
Slides
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Minisymposium
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15.
On unsuperstable theories in the GDST
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February 2022. Arctic Set Theory Workshop V. Kilpisjärvi, Finland.
Slides
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Conf
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14.
Colouring orders and ordering trees
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February 2022. Bar-Ilan Set Theory Colloquium. Ramat Gan, Israel. Online.
Slides
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Seminar
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13.
Filter Reflection and Generalised Descriptive Set Theory
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October 2020. University of Helsinki Logic Seminar. Helsinki, Finland. Online.
Slides
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Seminar
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12.
Filter Reflection
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May 2020. Bar-Ilan University and Hebrew University Logic Seminar. Ramat Gan - Jerusalem, Israel. Online.
Slides
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Video
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Seminar
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11.
Consistency of Filter Reflection
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May 2020. Seminario Flotante de Bogotá de Lógica Matemática. Bogotá Logic Group, Colombia. Online.
Slides
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Video
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Seminar
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10.
Connections between generalised Baire spaces and model theory
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February 2020. Fifth Workshop on Generalised Baire Spaces. Invited main speaker. Bristol, England.
Slides
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Conf
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9.
Diamond sharp and a model theory dichotomy in GDST
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January 2019. Arctic Set Theory Workshop IV. Kilpisjärvi, Finland.
Slides
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Conf
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8.
A model theory dichotomy in generalized descriptive set theory
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October 2018. UH-CAS Workshop on mathematical logic. Helsinki, Finland.
Slides
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Conf
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7.
La relación de equivalencia modulo conjuntos no estacionarios en los espacios de Baire generalizados
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September 2017. Bogotá Logic Seminar. Bogotá, Colombia.
Notes (section 3)
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Seminar
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6.
Conjuntos de indiscernibles en teorias estables
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September 2017. Seminario de categorias accessibles y teoria de modelos, Universidad Nacional de Colombia sede Bogotá. Bogotá, Colombia.
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5.
The equivalence modulo non-stationary ideals
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January 2017. Arctic Set Theory Workshop III. Kilpisjärvi, Finland.
Slides
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Conf
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4.
Strong DOP and the Borel hierarchy
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September 2016. Workshop on Set-theoretical aspects of the model theory of strong logics. Bellaterra, Barcelona.
Slides
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Conf
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3.
Shelah's Main Gap Theorem in the Borel-reducibility hierarchy
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March 2016. 27th Nordic Congress of Mathematicians. Invited special session. Stockholm, Sweden.
Slides
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Conf
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2.
Borel reducibility and the isomorphism relation
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January 2016. Finnish Mathematical Days 2016. Invited special session. Turku, Finland.
Slides
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Conf
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1.
On the reducibility of isomorphism relation
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January 2015. Arctic Set Theory Workshop II. Kilpisjärvi, Finland.
Conf
Public Examination
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FINDING THE MAIN GAP IN THE BOREL-REDUCIBILITY HIERARCHY
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December 2017. Exactum, Faculty of Science, University of Helsinki.
PDF
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Slides
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Opponent's lecture
Posters
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2.
Filter Reflection and the Borel reducibility
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July 2022. Advances in Set Theory 2O22. Jerusalem, Israel.
Poster
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Conference
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1.
Filter Reflection and the Borel reducibility
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July 2022. ESI Set Theory Workshop 2022. Vienna, Austria.
Poster
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Workshop
Contributed Talks
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4.
TBA
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August - September 2022. European Set Theory Conference 2022. Turin, Italy.
Slides
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Conference
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3.
Diamond sharp and the Generalized Baire Spaces
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July 2019. 7th European Set Theory Conference. Vienna, Austria.
Slides
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Conf
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2.
Reflection principles and the generalized Baire spaces
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July 2017. 6th European Set Theory conference. Budapest, Hungary.
Slides
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Conf
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1.
The equivalence Modulo Non-stationary Ideals and Shelah's Main Gap Theorem in the Borel-reducibility hierarchy
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September 2016. Bonn Set Theory Workshop 2016, Generalized Baire spaces. Bonn, Germany.
Slides
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Conf
Seminar Talks
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17.
Fake Reflection
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23.01.2020. KGRC Research Seminar, Kurt Gödel Research Center, University of Vienna.
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16.
The Main Gap in the generalized Borel-reducibility hierarchy
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11.03.2019. Set Theory Colloquium, Bar-Ilan University.
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15.
An introduction to generalized descriptive set theory, part 4
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14.01.2019. Set Theory Colloquium, Bar-Ilan University.
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14.
An introduction to generalized descriptive set theory, part 3
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07.01.2019. Set Theory Colloquium, Bar-Ilan University.
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13.
An introduction to generalized descriptive set theory, part 2
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31.12.2019. Set Theory Colloquium, Bar-Ilan University.
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12.
An introduction to generalized descriptive set theory, part 1
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10.12.2018. Set Theory Colloquium, Bar-Ilan University.
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11.
Σ_1^1-complete quasi-orders in L
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21.03.2018. Logic Seminar, Helsinki Logic Group.
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10.
Σ_1^1-complete quasi-orders on weakly compact cardinals
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18.10.2017. Logic Seminar, Helsinki Logic Group.
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9.
Reflection principles and Borel reducibility
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29.03.2017. Logic Seminar, Helsinki Logic Group.
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8.
The isomorphism relation of Theories with S-DOP
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14.09.2016. Logic Seminar, Helsinki Logic Group.
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7.
A Borel-reducibility counterpart of Shelah's main gap theorem
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02.12.2015. Logic Seminar, Helsinki Logic Group.
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6.
The isomorphism relation of classifable theories
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04.11.2015. Logic Seminar, Helsinki Logic Group.
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5.
On the reducibility of the isomorphism relation II
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28.01.2015. Logic Seminar, Helsinki Logic Group.
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4.
On the reducibility of the isomorphism relation I
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21.01.2015. Logic Seminar, Helsinki Logic Group.
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3.
More on Stationary tower forcing
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02.03.2014. Logic Seminar, Helsinki Logic Group.
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2.
Stationary tower forcing
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22.01.2014. Logic Seminar, Helsinki Logic Group.
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1.
Matroides representables en GF(2)
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21.04.2010. Seminario de Estudiantes, Universidad Nacional de Colombia sede Bogotá.