CV
Education
- Ph.D in Mathematics, McMaster University, 2021.
- Supervisors: Drs. Stan Alama and Lia Bronsard.
- Thesis title: Solutions and limits of the Thomas-Fermi-Dirac-Von Weizsacker energy with background potential
- M.Sc. in Applied Mathematics, Technion - Israel, 2014.
- Supervisor: Dr. Itai Shafrir
- Thesis title: On Semi-linear elliptic systems exhibiting critical behavior
- Exchange student, Civil Engineering Mathematics, Universidad de Chile, Santiago, 2011.
- Fourier Analysis
- Partial Differential Equations
- Optimization
- Summer school in Measure Theory, Universidade Federal de Rio de Janeiro (UFRJ), Brazil, 2010.
- Summer school in Functional Analysis, Instituto de Matematica Pure y Aplicada (IMPA), Rio de Janeiro, Brazil, 2010.
- B.Sc. in Mathematics, Universidad Nacional de Colombia, 2011.
Professional Development
- 2022-2023: One year program, TPSE Leadership institute, Leadership in transforming post-secondary education in Mathematics. Project-based
- 2022: Certificate, Kognito, At-risk Mental Health for Faculty & Staff
- 2021: Online Specialization, University of Colorado, The Teacher and Social and Emo-tional Learning
- 2020: Online Specialization, University of California, Virtual Teacher
- 2020: Online Certificate, University of Michigan, Leading for Equity, Diversity and Inclusion in Higher Education
- 2020: Online Certificate, University of Illinois, An introduction to Accessibility and Inclusive Design
- 2020: Certificate, McMaster University, Professor Hippo-on-Campus Student Mental Health Education Program for Educators and Navigators
- 2018-2019: Certificate, McMaster University, Teaching and Learning Scholar
- 2018: Certificate, Instructional Skill Workshop (ISW)
- 2017-2018: Certificate, McMaster University, Teaching and Learning Foundations
Research Interests
Applications of the Calculus of Variations and PDEs to Quantum Physics and Material Science.
Teaching
Publications
An Ohta-Kawasaki Model set on the space
L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2025) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120. Submitted to the Bulletin of the London Mathematical Society. Undergoing minor revisions.
Convergence of the TFDW Energy to the Liquid Drop Model
L. Aguirre Salazar, S. Alama, and L. Bronsard (2021). " Convergence of the TFDW Energy to the Liquid Drop Model " SIAM J. Math. Anal. 53(3) pp. 3493-3519.
Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential
L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502.
Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification
L. Aguirre, H. Contreras and C.D. Acosta (2017). " Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification " (in Spanish); Revista Colombiana de Matemáticas 51(2), pp.195-220.
A remark on weakly contractive mappings
L. Aguirre Salazar and S. Reich (2015). " A remark on weakly contractive mappings" Journal of Nonlinear Convex Analysis 16(4), pp. 767-773.
Service
- 2025-: Committee member, Texas A\&M University, Corpus Christi, TX, US
- Department committee in Data Science, outreach.
- 2024: Committee member, Texas A\&M University, Corpus Christi, TX, US
- Department committee in Mathematics Education.
- 2022-2023: Committee member, Valdosta State University
- Faculty committee on student engagement
- MESA (a committee that serves the Hispanic students at VSU)
- Undergraduate Research Committee
- 2020-present: Reviewer, SIAM Studies in Applied Mathematics
- 2020: Initiative, McMaster University. Started the team “Teaching and Learning Math at Mac!”, where students, faculty and staff have discussions on teaching and learning Mathematics
Awards and Scholarships
- 2022: Award, TPSE Leadership program.
- 2020: Scholarship, McMaster University, Dr. F. R. Britton scholarship 2020/2021
- 2019: Scholarship, McMaster University, Dr. F. R. Britton scholarship 2019/2020
- 2019: Student Travel Award, SIAM, Conference on Analysis of PDEs
- 2019: Research Award, McMaster University, James Stewart Student Research Award
- 2018: Scholarship, McMaster University, Dr. F. R. Britton scholarship 2018/2019
- 2016: Scholarship, McMaster University, Dr. F. R. Britton scholarship 2016/2017
- 2016-2021: Scholarship, McMaster University, Ph.D program in Mathematics
- 2012-2014: Scholarship, Technion, M.Sc in Applied Mathematics
- 2010: Scholarship, Universidade Federal de Rio de Janeiro (UFRJ), Brazil, Summer course. course taken: Measure Theory, graduate level
- 2010: Scholarship, Instituto de Matemática Pura y Aplicada (IMPA), Brazil, Summer course. course taken: Functional Analysis, graduate level
- 2009-2011: Waived tuition, Universidad Nacional de Colombia, Five terms with top average marks during my undergraduate studies
- 2007: First Admission Place, Universidad Nacional de Colombia, B.Sc in Mathematics Sede Manizales, starting in Feb/2007. I transferred to Bogotá in Feb/2009
Language Skills
- Native: Spanish
- Advanced: English
- Basic: Chinese, Hebrew, Portuguese, Russian
Programming Skills
Matlab, Java, C++, Maple, R