Associate Professor
Department of Mathematics, Swansea University
Postal address:
Swansea University, Bay Campus
Department of Mathematics
Computational Foundry, Office: 303
Fabian Way, SA1 8EN, Swansea, UK
Office phone: +44 (0)1792 29 5852
E-mail address:
I am an Associate Professor in the Department of Mathematics at Swansea University. My research interests are applied algebraic geometry, and commutative algebra, in particular, their applications for solving problems arising in geometric modeling and Computer Aided Geometric Design (CAGD). Previously, I was a Postdoctoral Researcher in the Group of Symbolic Computation at RICAM, in Linz, Austria.
PhD, Mathematics, University of Oslo, Norway, 2013.
MSc, Mathematics, University of Bordeaux 1, France, 2007
Leiden University, The Netherlands, 2006
Erasmus Mundus Master ALGANT: ALgebra, Geometry And Number Theory.
BSc, Mathematics, Universidad Nacional de Colombia, Bogotá, 2005.
*I also studied Microbiology for one year (2000-2001) at the Universidad de Pamplona, Colombia.
EPSRC project EP/V012835/1 Feb 2021- Jan 2024
High order methods for computational engineering and data analysis
Alliance Hubert Curien Grant 2021-2023: Swansea University & Inria Sophia Antipolis Méditerranée
In collaboration with Angelos Mantzaflaris.
Mini-symposium on New interactions of real algebraic geometry and toplogy and their applications, European Women in Mathematics 2026, University of Warwick, August 31- September 4, 2026.
Rigid structures in algebraic combinatorics and algebraic statistics, ICMS, Bayes Centre, Edinburgh, May 18-22, 2026.
Math-Red, Mujeres en Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia, May 4-5, 2026.
77th British Mathematical Colloquium - Algebra Section, Cardiff University, March 30 - April 2, 2026.
ICMS Research-in-Groups, Edinburgh, UK, January 12-23, 2026.
MATEMAX, Computational Algebra, Algebraic Geometry and Applications II, Buenos Aires, Argentina, December 15-17 2025.
SIAM Conference on Computational Geometric Design (GD25), Montréal, Canada, July 28-30, 2025. I co-organise together with Cesare Bracco and Francesco Patrize the mini-symposium on Advances in Spline Theory: Approximation, Interpolation, and Numerical Simulation.
2025 Summer Research in Mathematics (SRiM), SLMath, Berkeley, California, USA, July 13-26, 2025.
XXIV National Congress of Mathematics, Pereira, Colombia, June 2-6, 2025. I am on the coordinating committee for the area of Combinatorics, together with Federico Castillo and Carolina Benedetti.
Wales Mathematics Colloquium, Gregynog Hall, Newtown, UK, June 2025 2-4, 2025.
Workshop on the Applications of Commutative Algebra, The Fields Institute, Toronto, Canada, May 26 - 30, 2025. I am co-mentoring the Focus Group on Approximation Theory together with Michael DiPasquale.
AGREGA 4, Universidad de La Serena, La Serena, Chile, January 6-10, 2025.
Integral Structures in Geometry and Representation Theory, session on Experimental Methods in Algebra, Geometry and Number Theory, Paderborn, Germany, September 9-13, 2024.
BM60: A Workshop for Bernard Mourrain's 60th Birthday, August 3, 2024, Leipzig, Germany.
XXIV Coloquio Latinoamericano de Álgebra, July 22-26, 2024, Santiago de Chile, Chile. I co-organise, together with Mercedes Perez Millán, the session on Computational Algebra and Applications of Algebra.
CIMPA School on Combinatorics, University of Cauca, Popayán, Colombia, June 17-28, 2024. I am part of the Scientific Committee.
Geometric modeling: Challenges for Additive Manufacturing, Dagstuhl Seminar, Germany, Jun e9-14, 2024.
BIRS-CMO workshop: Women in Commutative Algebra - WICA III, Oaxaca, Mexico, June 2-7, 2024. I co-lead, together with Emilie Dufresne, the research group on Invariant Theory.
Homological Perspective on Splines and Finite Elements, Banff International Research Station, Canada, May 19-24, 2024.
Días de combinatoria, Bucaramanga, Colombia, Dec 11-22, 2023.
Women in Commutative Algebra II, CIRM Trento, Italy, Oct 16 -20, 2023.
ICMAM Latin America, Satellite Conference on Algebra, Combinatorics and Number Theory, September 27-29, 2013.
UK Algebraic Geometry Network Meeting, University of Nottingham, UK, Sep 14-15, 2023.
10th International Conference on Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japan, August 20-25, 2023. (I co-organise together with Kaibo Hu the mini-symposium on Finite element complexes and multivariate splines.)
SIAM Conference on Applied Algebraic Geometry (AG23), Eindhoven, Netherlands, Jul 10-14, 2023.
SIAM Conference on Computational Geometric Design (GD23), Genoa, Italy, July 3-5, 2023. I co-organise together with Cesare Bracco the mini-symposium on Algebraic Spline Geometry & I'm one of the posters chairs.
International Conference on Approximation Theory and Beyond, Celebrating Larry Schumaker’s 80th Birthday, Nashville, TN, USA, May 15-18, 2023.
Graph rigidity and applications, Lancaster University, UK, April 17-21, 2023.
Pure Mathematics Colloquium, School of Mathematics and Statistics, University of St Andrews, UK, November 17, 2022.
INdAM Meeting: Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology, Cortona, Italy, September 5-9, 2022.
15th Meeting Applied Algebra and Geometry Research Network, Swansea, UK, August 24, 2022 (I'm the local organiser).
CIMPA Research School: Geometric methods in combinatorics ECCO 2022, postponed to June 14-25, 2022 (I'm part of the organizing committee).
AROMATH (AlgebRa, geOmetry, Modeling and AlgoriTHms) Seminar, Inria Sophia-Antipolis, France, March 23, 2022.
Seminario AC/GA Cimat, February 28, 2022, online seminar (3:30pm GMT-6).
Oberwolfach Mini-Workshop on Interpolation, Approximation, and Algebra, February 13-19, 2022.
Mathematics taster session, What if parallel lines meet at infinity? How would the space look like?, Swansea University, Jan 31, 2022.
Mathematics Department seminar, Brunel University London, January 26, 2022.
Skype a scientist, Escola Oficial de Idiomas de Santiago de Compostela, Santiago de Compostela, December 13, 2021 (online talk 7.00pm GMT+1).
Seren Network, Master Class for year 12 and 13, selected academically talented students in Wales, Combinatorics: the art of counting and unveiling structures, November 11, 2021.
Dagstuhl Seminar, Geometric Modeling: Interoperability and New Challenges, November 21-26 , 2021.
SFB lecture, University of Regensburg, Germany, November 16, 2021 (online seminar 12.30pm GMT+1).
SIAM Conference on Applied Algebraic Geometry (AG21), August 16-20, 2021 (virtual conference). I'm organizing together with Michael DiPasquale the Mini-symposium on Algebraic Methods for Multivariate Splines and Rigidity.
Women in Shape Modeling (WiSh), Research Collaboration Workshop, BIRS Casa Matemática Oaxaca (CMO), Mexico, June 13-18, 2021. There will be four research groups, together with Carlotta Giannelli (University of Florence) we are leading one on 'Algebraic and Geometric tools in Computational Design'. A description of the research projects is included in the application form 📝.
Mini-Workshop on Dimension of multivariate splines: an algebraic approach, Rome, May 31, 2021 (online event).
BMS-BAMC Glasgow 2021, April 6-9, 2021 (Online). Minisymposium & 12th LMS research network meeting in Applied Algebra and Geometry, April 8, 2021 (9-11am GMT).
Encuentro de la Escuela de Matemáticas, Universidad Pedagógica y Tecnológica de Colombia, Tunja, Colombia, online on March 2, 2021 (4pm GMT-5).
Coloquio de Matemáticas, Universidad de los Andes, Bogotá, Colombia, online on February 25, 2021 (4pm GMT-5).
Mathematics in the Digital Age, South West and Wales IMA branch relaunch event, online event November 26, 2020 (7pm GMT) 🎥 The algebraic nature of computer graphics.
Seminario Sabanero de Combinatoria, Bogotá, Colombia, online event November 13, 2020 (11am GMT-5).
Algebra Seminar (online), University of York, November 6th, 2020 (11am GMT).
INdAM Workshop: Geometric Challenges in Isogeometric Analysis, Rome, Italy, January 27-31, 2020.
Applied Topology Seminar, University of Aberdeen, January 22, 2020.
Algebra seminar, University of Leeds, UK, 05/11.
Algebraic Spline Geometry & 9th LMS Network meeting on Applied Algebra and Geometry, Swansea University, August 21-23, 2019 (I am the local organizer).
Not many conferences can brag about having an announcement in Welsh !
SIAM Conference on Applied Algebraic Geometry, I'm organizing together with Michael DiPasquale the Mini-symposium on Multivariate spline approximation and algebraic geometry, Bern, Switzerland, July 9-13, 2019.
Días de Combinatoria, Universidad del Cauca, Popayán, Colombia, July 15-26, 2019 (I am part of the organizing committee).
Structure preserving discretizations: FEMs, Splines, and IGA, University of Pittsburgh, May 31-June1, 2019.
Approximation Theory Meeting, Minisymposium on Recent Advances in Multivariate Splines, May 19-22, Nashville, TN, 2019.
Isogeometric Splines: Theory and Applications, Banff International Research Station, Alberta, Canada, February 24 - March 1, 2019.
Algebra seminar, University of Glasgow, UK, October 31, 2018.
ICERM Real Algebraic Geometry and Optimization, Brown University, USA, October 15-19, 2018.
LMS Applied Algebra and Geometry, Swansea University, September 10, 2018 (I am the local organizer).
CIMPA School: Combinatorics meets Algebra, Geometry and Optimization ECCO2018 & 6th Encuentro Colombiano de Combinatoria, Barranquilla, Colombia, June 4-15, 2018 (I am part of the organizing committee).
Computational and Geometric Design, Optimization, and Optimal control, Del Rosario University, Bogotá, Colombia, April 4, 2018.
Applied Algebra and Combinatorics (LMS, celebrating new appointments) , Swansea, UK, March 9, 2018 (I am the organizer).
9th International Conference on Curves and Surfaces, Arcachon, France, June 28 - July 04, 2018.
Algebra and Analysis Seminar, University of Nottingham, UK, May 16, 2018.
Mathematics Seminar, Cardiff University, UK, February 15, 2018.
SIAM Conference on Applied Algebraic Geometry, Atlanta, Georgia, USA, July 31-August 4, 2017 (slides).
SoapboxScience 2017 Swansea, Oxford Street SA1 3AE, Swansea, UK, Saturday July 8, 2017.
🎙️ BBC Wales Science Café: iplayer http://www.bbc.co.uk/programmes/b08x1wrg
BIRS-CMO workshop, Computational Algebra and Geometric Modeling, Oaxaca, México, August 7-12, 2016.
🎥 Geometrically continuous splines on surfaces of arbitrary topology.
Ethics in the Age of Conspiracy Theories, Masterclass, November 16-17, 2021.
Disorder Under Heaven: A Masterclass with Slavoj Zizek, Birkbeck University of London, April 29-30, 2019.
2nd Software & Industrial Workshop, Cambridge, UK, January 28-31, 2019.
G10 Festival van de economie en de filosofie, Amsterdam, The Netherlands, March 24-25, 2017.
ITP Conference, Orlando, Florida, USA, July 8-10, 2016.