Diana Gutierrez Diaz

PhD student

I am a PhD student in the Division of Applied Mathematics (TIMA) with focus on discrete optimisation. My position is funded by the Wallenberg AI, Autonomous Systems and Software Program (WASP) and I am a part of WASP Graduate school.

Discrete optimisation

The focus of my research lies in discrete optimisation, with a particular emphasis on decomposition methods and geometric and algebraic understanding for algorithm development.

Discrete optimisation is a field of mathematical optimisation that addresses problems involving decision variables that can take discrete values. The theory facilitates the modelling and solving of a variety of problems such as scheduling, routing, resource allocation and so on.

However, the technical nature of these problems can, in certain instances, complicate the process of finding optimal solutions. The comprehension of mathematical models, geometry, algebra, computer algorithms and associated domains are critical for designing efficient methods for discrete optimisation.

My position is funded by the Wallenberg AI, Autonomous Systems and Software Program (WASP), through which I am also part of the WASP Graduate school. In addition, I am a member of the research group Mathematics and Algorithms for Intelligent Decision Making, led by my main supervisor Elina Rönnberg.

CV

About me

A mathematician with a Master’s degree in Mathematics specialising in Operations Research. Possesses great ability to learn various programming languages. Demonstrates the ability to interpret and communicate information confidently to diverse working groups in the capacity of a mathematics teacher. In addition to an educational background in fundamental mathematical principles, including calculus, linear algebra, probability theory, differential equations, topology, real analysis and abstract algebra.

Experience

Pontificia Universidad Javeriana

2020 - Present. Lecture professor for Differential Calculus, Integral Calculus, Linear
Algebra, Mathematics for studies in biological sciences and Linear Programming.
2019. Mathematics tutor, supporting classrooms for subjects related with math.
Three hours per week.

Working Paper

“Submodularity and combinatorial representations for the multicommodity network
design problem”, coauthored with Ph.D. Camilo Ortiz and Ph.D Ivan Contreras.

Education

Technician in accounting of commercial and financial operations
Servicio Nacional de Aprendizaje (SENA), Choachí, Colombia, 2015.
BSc. Mathematics (2016-2020)
Pontificia Universidad Javeriana.
MSc. Mathematics (2020-2022)
Pontificia Universidad Javeriana. Grado con honores CVM LAVDE (Graduated with honours). Distinction for outstanding thesis.

Skills

Languages

Spanish, native.
English, Professional proficiency.

Languages/Technology

MS Office.
Latex.
Python - Intermediate knowledge.
R - Basic knowledge.
Intermediate knowledge in Machine Learning techniques.

Virtual Courses

Organizations accounting
Virtual complementary in organizations accounting.
Application of methodological tools in research: Formation of projects in science, technology and innovation.

Events

Latin American Meeting of Modelling, Engineering and Science Students, 2023, Chile. Speaker.
5th research meeting, faculty of science PUJ, 2023, Colombia. Speaker.
Latin American School of Mathematical Methods in Biology and Medicine, 2019. Bogot´a, Colombia. Part of the group of organisers.
Non.commutative geometry and Poisson geometry around grupoids, 2028. Colombia. Assistant
First summer school in arithmetic, p-adic analysis and physcs, 2018. Colombia. Assistant
Mathematics by students, 2017,2018 and 2019. Colombia. Assistant.

Research

Mathematics and algorithms for intelligent decision-making

On the journey towards sustainability, our contribution is to develop mathematical models and solution methods for practically relevant but computationally challenging problems in scheduling and resource allocation.

A geometric interior design among papers. In the background is a programming code on a blackboard

WASP Academic Doctoral Student project

Pushing the limits for large-scale discrete optimisation: New mathematics and algorithms for methods used together with Dantzig-Wolfe decomposition.

abstract image with algorithms and digital symbols

WASP at Department of Mathematics (MAI)

This page is about WASP Mathematics. You can read about our two research groups: Mathematics and algorithms for intelligent decision-making, Optimisation for machine learning.

Organisation

Illustrative picture representing mathematics

Applied Mathematics (TIMA)

Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The division conducts research in computational mathematics, mathematical statistics and optimization.

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.