• Seminars


1. Geometry, PDE and Mathematical Physics Seminar
   Texas Tech University (TTU)
   February 11, 2025
   Title: The Reduced Membrane Equation


2. Probability, Differential Geometry and Mathematical Physics Seminar
   Texas Tech University (TTU)
   November 15, 2023
   Title: On Some Open Problems Related to p-Elastic Curves


3. Differential Geometry Seminar Torino
   Politecnico di Torino
   February 10, 2023
   Title: Existence and Properties of Closed Free p-Elastic Curves


4. SIAM and AWM Colloquium
   Texas Tech University (TTU)
   October 18, 2022
   Title: Some Geometric Variational Open Problems


5. Geometry Seminar
   California State University Fullerton
   October 29, 2021
   Title: A New Variational Characterization of Invariant Constant Mean Curvature Surfaces


6. Probability, Differential Geometry and Mathematical Physics Seminar
   Texas Tech University (TTU)
   September 8, 2021
   Title: Geometric Variational Problems for Curves and Surfaces


7. Probability, Differential Geometry and Mathematical Physics Seminar
   Texas Tech University (TTU)
   March 17, 2021
   Title: The Euler-Helfrich Variational Problem


8. SING Seminar
   University "Al.I.Cuza" of Iasi
   February 3, 2021
   Title: Construction of Closed Biconservative Surfaces


9. Elasticity Seminar
   Texas Tech University (TTU)
   October 14, 2020
   Title: The Euler-Plateau Problem with Elastic Modulus


10. Elasticity Seminar
    Texas Tech University (TTU)
    September 16, 2020
    Title: Minimal Surfaces Spanning a Twisted Elastic Ribbon


11. DISMA Seminar
    Politecnico di Torino
    January 23, 2020
    Title: Blaschke's Curvature Energies and Minimal Tori in 𝕊³


12. Young Researchers Seminar
    University of Granada
    November 21, 2017
    Title: Compact Constant Mean Curvature Rotational Surfaces






• Conference Talks



1. 9th European Congress of Mathematics
   Sevilla (Spain)
   July 15-19, 2024
   Invited Talk: Binormal Evolution of Generalized Elastic Curves


2. AMS Spring Western Sectional Meeting
   San Francisco (USA)
   May 4-5, 2024
   Invited Talk: Variational Theory of Membranes


3. AMS Fall Central Sectional Meeting
   El Paso (USA)
   September 17-18, 2022
   Invited Talk: Blaschke's Variational Problem


4. 4th Geometric Analysis Festivals
   Online Talk Session
   October, 2021
   Talk: Boundary Value Problems for the Helfrich Energy


5. Differential Geometry Workshop
   Vienna (Austria)-Virtually
   September 2, 2021
   Invited Talk: A New Characterization of Biconservative Surfaces in 3-Space Forms


6. ICNAAM 2020 (Elastic Curves and Surfaces with Applications)
   Rhodes (Greece)-Virtually
   September 17-23, 2020
   Invited Talk: Minimal Surfaces Bounded by Elastic Curves


7. AMS Fall Central Sectional Meeting
   El Paso (USA)-Virtually
   September 12-14, 2020
   Invited Talk: Construction of Rotational Constant Skew Curvature Surfaces in Space Forms


8. Texas Geometry and Topology Conference (TGTC)
   Lubbock (USA)-Virtually
   April 24-26, 2020
   Invited Talk: Invariant Surfaces in 𝕊³ Based on Generalized Elastic Curves


9. V Conference of Young Researches of the Spanish Royal Society of Mathematics
   Castellón (Spain)
   January 27-31, 2020
   Invited Talk: Anisotropic Elastic Rods


10. International Conference on Geometry, Differential Equations and Analysis
    Kharkiv (Ukraine)
    June 17-21, 2019
    Talk: Solutions of the Ermakov-Milne-Pinney Equation and Invariant Constant Mean Curvature Surfaces


11. XXIst International Conference on Geometry, Integrability and Quantization
    Varna (Bulgaria)
    June 3-8, 2019
    Talk: Willmore-Like Energies and Elastic Curves with Potential


12. 23rd International Summer School on Global Analysis and its Applications
    Brasov (Romania)
    August 20-24, 2018
    Talk: Criticality of Sub-Riemannian Geodesics Projections and Applications


13. XXth International Conference on Geometry, Integrability and Quantization
    Varna (Bulgaria)
    June 2-7, 2018
    Talk: Planar p-Elasticae and Rotational Linear Weingarten Surfaces


14. VI (National) Meeting of Young Topologists
    Bilbao (Spain)
    October 18-19, 2017
    Talk: Compact Rotational Surfaces with Constant Mean Curvature in 𝕊³


15. 22nd International Summer School on Global Analysis and its Applications
    Krakow (Poland)
    August 21-25, 2017
    Talk: On Extremals of Curvature Energies Used in Visual Curve Completion


16. Young Researchers Workshop on Differential Geometry in Minkowski Space
    Granada (Spain)
    April 17-20, 2017
    Talk: Constant Mean Curvature Invariant Surfaces in 𝕃³ and a Blaschke's Variational Problem


17. Topology School of Low Dimension
    Zaragoza (Spain)
    January 18-27, 2017
    Talk: Traveling Wave Solutions of the Codazzi-Betchov-Da Rios Equations






• Poster Sessions



1. Department of Mathematics, Texas Tech University
   Lubbock (USA)
   October, 2022
   Poster: Generalized Elastic Curves in 𝕊² and their Applications


2. Young Researchers in PDEs and Geometric Analysis
   Online
   April 8, 2021
   Poster: Ground State Equilibria for the Helfrich Energy with Elastic Boundary


3. XXIV (National) Meeting of Topology
   Bilbao (Spain)
   October 20-21, 2017
   Poster: Constant Mean Curvature Tori Embedded in 𝕊³


4. VIII International Meeting on Lorentzian Geometry
   Málaga (Spain)
   September 20-23, 2016
   Poster: Elastica Constrained Problem in Hypersurfaces of Lorentzian Space Forms






• Other Projects



1. Presentation of the PhD Dissertation
   University of the Basque Country (UPV/EHU)
   October 25, 2018
   Title: Invariant Surfaces with Generalized Elastic Profile Curves


2. Presentation of the End of Master Project
   University of the Basque Country (UPV/EHU)
   September 30, 2015
   Title: Teorema Fundamental de Superficies y Aplicaciones


3. Presentation of the End of Degree Project
   University of the Basque Country (UPV/EHU)
   May 15, 2014
   Title: Geodésicas en Variedades de Riemann






• Outreach Programs



1. Emmy Noether Day
   Texas Tech University (TTU)
   May 14, 2025
   Title: Germain's Variational Problems and Noether's Symmetries


2. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   April 17, 2025
   Problems: Infinity


3. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   November 7, 2024
   Problems: Geodesics


4. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   April 11, 2024
   Problems: Counting Techniques


5. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   April 4, 2024
   Problems: Mathematical Paradoxes


6. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   October 25, 2023
   Problems: Trigonometry and Area


7. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   October 18, 2023
   Problems: Trigonometry


8. Emmy Noether Day
   Texas Tech University (TTU)
   May 11, 2023
   Title: Germain's Variational Problems and Noether's Symmetries


9. Math Circle at Texas Tech University (TTU)
   Lubbock (USA)
   March 29, 2023
   Problems: Chinese Remainder Theorem


10. Math Circle at Texas Tech University (TTU)
    Lubbock (USA)
    March 22, 2023
    Problems: Diophantine Equations


11. Math Circle at Texas Tech University (TTU)
    Lubbock (USA)
    March 8, 2023
    Problems: Congruences


12. Math Circle at Texas Tech University (TTU)
    Lubbock (USA)
    November 16, 2022
    Problems: Induction Axiom


13. Math Circle at Texas Tech University (TTU)
    Lubbock (USA)
    November 9, 2022
    Problems: Infinity


14. Math Circle at Texas Tech University (TTU)
    Lubbock (USA)
    November 2, 2022
    Problems: Euler Characteristic


15. XVII Week of Science, Technology and Innovation
    Bilbao (Spain)
    November 8-12, 2017
    Talk: Mathematical Paradoxes


16. XVI Week of Science, Technology and Innovation
    Bilbao (Spain)
    November 2-6, 2016
    Talk: Mathematical Paradoxes