Andres Angel
Assistant Professor
Universidad de
los Andes
Departamento de
Matematicas
Carrera 1 No
18A-12
Bogota, Colombia
E-mail:
ja.angel908 [at] uniandes [dot] edu [dot] co
Office: H -309
Telephone:
+5713394949 5217
Research
interests
Algebraic and
geometric topology: cobordism, orbifolds, string topology and the topology of
moduli spaces.
Applied algebraic
topology: topological data analysis, persistent homology, topological robotics
and topological combinatorics.
Positions
[2012-] Universidad de los Andes, Bogota,
Colombia.
Assistant professor.
[2011-2012] Universidad de los Andes, Bogota,
Colombia.
Visiting professor.
2008-2010 Hausdorff Center for Mathematics,
Bonn, Germany.
Wissenschaftlicher Mitarbeiter.
Education
[2003-2008 ] Stanford University, Stanford,
California.
Ph.D. in Mathematics.
Dissertation Adviser: Ralph Cohen
Dissertation Title : Cobordisms of Orbifolds.
[1997-2002] Universidad de los Andes. Bogota,
Colombia.
B.S Magna Cum Laude in Mathematics with Minor
in Electrical Engineering .
Thesis Adviser: Xavier Caicedo
Thesis Title: Topological Methods in the study
of Vaught`s Conjecture
Grants
Assistant professor Grant. Science Faculty.
December 6/2012.
Grant for innovation in education. Science
Faculty. May 10/2013.
Publications
Equivariant topological
complexities. (Joint
work with H.Colman). Accepted for publication Contemporary Mathematics. Volume:
Topological Complexity and Related Topics. pdf
Survey of equivariant notions of
topological complexity. (Joint work with H.Colman). Oberwolfach Reports No 15/2016. pdf
Simplical
complexes and the evasiveness conjecture (Joint work with
J.Borja).GSM 2016 volume 1 issue 1. pdf
The BV-Algebra Structure
of the Hochschild Cohomology of the Group Ring of Cyclic Groups of Prime Order (Joint work with
D.Duarte). Proceedings
of Geometric and Topological Methods for Quantum Field Theory 2013. World Scientific
Publishing Co. Pte. Ltd 2016
pdf
A
survey on orbifold string topology. Proceedings
of Geometric and Topological Methods for Quantum
Field Theory 2011. World Scientific Publishing
Co. Pte. Ltd 2014.
pdf
Hochschild
and String Topology of Orbifolds.(Joint work with
E. Backelin and B. Uribe). Journal of Topology
2012. Volume 5 Issue 3. pdf.
Totaro's
spectral sequence. Oberwolfach
Arbeitsgemainschaft 2010 Report 47/2010. pdf.
When
is a manifold the boundary of an Orbifold?.
Proceedings
of Geometric and Topological Methods
for Quantum Field Theory 2007. Cambridge University Press. 2009. pdf.
A
spectral sequence for orbifold cobordism.
Proceedings
of Algebraic Topology: Old and New; M.
M. Postnikov Memorial Conference 2007. Banach Center Publ. 85 (2009),
141-154. pdf.
Preprints
Equilateral $p$-gons in $\mathbb R^d$ and deformed spheres and mod $p$ Fadell-Husseini index (Joint
work with J.Borja) Submitted Arxiv
A
BV-algebra Structure on Hochschild Cohomology of the Group Ring of Finitely Generated Abelian Groups.
(Joint work with D.Duarte).
Submitted. Arxiv
The Evasiveness
Conjecture and Graphs on 2p Vertices
(Joint work with J.Borja). Arxiv
Free
and based path groupoids (Joint work with H.
Colman) Arxiv
Orbifold
Cobordism. pdf.
Students
Sergio Chaves.
Master Thesis 2012. Cobordism and homotopy spheres. pdf.
David Perdomo.
Undergraduate Thesis 2013. Witten's proof of Morse Inequalities. pdf.
Rodolfo Quintero.
Undergraduate Thesis 2013. Aplicaciones de topologia algebraica a combinatoria.
La conjetura de Kneser. pdf.
Luis Polanco.
Undergraduate Thesis 2013. Hilbert 5th's problem. pdf.
David Perdomo.
Master Thesis 2015. Topological Data Analysis with Metric Learning and an
Application to High-Dimensional Football Data. pdf.
Jose Quintero.
Undergraduate Thesis 2015. Application of sliding windows to periodicity of
functions. pdf.
Nicolas Escobar.
Undergraduate thesis 2015. The notion of orientation in K-theory. pdf.
Luis Polanco.
Master Thesis 2015. Estimations on persistent homology. pdf.
Rodolfo Quintero.
Master Thesis 2016. Intrinsic volumes and phase transition on optimization
problems. pdf.
Gustavo
Chaparro. Master Thesis 2016. Vietoris-Rips complex of the circle and
torus. pdf.
Jerson Borja. Phd Thesis 2016.
Equivariant algebraic topology applied to some problems in topological
combinatorics. pdf.
Diego Duarte. Phd Thesis 2017.
Calculations of BV algebra on the Hochschild (co)homology and string topology
of classifying spaces. pdf.
Felipe Gonzalez.
Current Master Student. Applied Algebraic Topology
Fernando Torres. Current Phd
Candidate. Stratifolds and the Atiyah-Hirzebruch Spectral Sequence.
Cesar Reyes. Current Phd Candidate.