Lukas Gustafsson
I have a PhD in Mathematics since 2023, supervised by Sandra Di Rocco and co-supervisor Kathlén Kohn at KTH, Sweden. My area of research is applied algebraic geometry and algebraic statistics.
Current Position
PhD student in Mathematics
Area: Applied Algebraic geometry
Supervisors: Sandra Di Rocco & Kathlén Kohn
University: KTH, Stockholm, Sweden
Seminars & Conferences Organized
Autumn 2023: Conference on Applied Algebra
Autumn 2022: AGAVE reading group
Summer 2022: PhD Math Fest Conference
Spring 2020: Non-linear algebra seminar KTH
Contact Details
Research Papers and Preprints
Status: Submitted to journalCo-authors: Sandra Di Rocco & Luca SodomacoStatus: Submitted to journalCo-authors: Carlos Améndola, Kathlén Kohn, Orlando Marigliano & Anna Seigal Status: Submitted to journalCo-authors: Paul Breiding, Timothy Duff, Felix Rydell, Elima ShehuStatus: Submitted to journalCo-authors: Sandra Di Rocco & Luca SchafflerAccepted for publication in SIAM Journal on Applied Algebra and GeometryCo-authors: Carlos Améndola, Kathlén Kohn, Orlando Marigliano & Anna Seigal Published: "Le Matematiche", vol.76, issue 2, pages 535-557Education
Master's Degree in Mathematics
Thesis: The EDD of Conics
Supervisor: Sandra di Rocco
University: KTH, Stockholm, Sweden
Bachelor's Degree in Engineering Physics
Supervisor: Pär Kurlberg
University: KTH, Stockholm, Sweden
Teaching Experience
Currently Teaching
SMC Matematiska Cirkeln (2022-2024)
Previous Teaching
TA advanced course in Linear Algebra (Autumns 2020-2022)
TA in Single Variable Calculus (Autumns 2019 - 2022)
TA in Discrete Mathematics (Autumn 2019)
TA in Linear Algebra (Autumn 2016)
Conferences, Workshops and Seminars Participated
Jan 2024: Mørketidens Mattemøte
April 2023: Graduate Student Meeting on Applied Algebra and Combinatorics
September 2023: Conference on Applied Algebra
August 2022: Master Class: Local Cohomology and related topics
June-July 2022: Combinatorial, Computational, and Applied Algebraic Geometry
June 2022: MEGA 2022: Effective Methods In Algebraic Geometry
June 2022: Altogelis day
June 2022: Mathematics of Complex Data
June 2022: PhD Math Fest
April 2022: CATS PhD Day
Nov 2021: Moduli spaces and log geometry
August 2021: SIAM Conference on Applied Algebraic Geometry (AG21)
June 2021: Effective Methods in Algebraic Geometry (MEGA)
Summer 2021: Ghent Junior Algebra and Geometry Seminar
Spring 2021: Ghent Toric Geometry Reading Seminar
June 2020: Algebraic and Tropical Online Meetings (ATOM Lecture series)
September 2019: TIME 2019 - Curves and Surfaces
Talks Given
Jan 2024: Mørketidens Mattemøte
Nov 2023: Applied CATS
Nov 2023: SMC pre-colloquium
Nov 2022 Applied CATS
Nov 2022 Svenska Matematiker Samfundets höstmöte
June 2022 MEGA 2022: Effective Methods In Algebraic Geometry (Contributed talk)
April 2022 CATS PhD Day
March 2022 Nonlinear Algebra at MPI MIS
August 2021 SIAM Conference on Applied Algebraic Geometry (AG21)
March 2021 Ghent Toric Geometry Reading Seminar
January 2021 LSSM retrospective
May 2020 KTH Graduate Student Seminar
Spring 2020 Non-linear algebra seminar KTH
Volunteer projects
Super-Resolution Microscopy
Team: Ilaria Testa Research Group at SciLifeLab.
Acknowledged in their publication in Nature Communications: Enhanced photon collection enables four dimensional fluorescence nanoscopy of living systems
Contribution: Helped writing code for image quantification.
Computer Vision
Team: Felix Rydell, Elima Shehu, and Angélica Torres
Acknowledged in their pre-print: Theoretical and Numerical Analysis of 3D Reconstruction Using Point and Line Incidences
Contribution: Participated at the early stages of the project and contributed with the initial insight of Theorem 1.3.