I am currently a PhD student in mathematics at Masaryk University. I also did my bachelor's and master's in mathematics at Masaryk University. During the aforementioned studies, I wrote a bachelor's thesis (in english) about locally presentable categories and a master's thesis (also in english) about nearly locally presentable categories.

**Email address:** jurka@math.muni.cz

- Are Chain-Complete Posets Co-wellpowered? With Jiří Rosický. Order 39, 71–76 (2022). doi:10.1007/s11083-021-09567-2. (Preprint Version: arXiv:2007.02255)

- Algebraic Reasoning over Relational Structures. With Stefan Milius and Henning Urbat. arXiv:2401.08445.
- An Enriched Small Object Argument Over a Cofibrantly Generated Base. arXiv:2401.05974.
- Constructing spectra using cone injectivity. With Tomáš Perutka and Lukáš Vokřínek. arXiv:2201.03516.

- Nearly Locally Presentable Categories (Master's thesis)
- Locally Presentable Categories (Bachelor's thesis)

Here you can find notes from most of the courses that I took. The notes are in czech unless stated otherwise, [CZ/EN] means that some parts are in czech and some are in english, [EN] means that the notes are either completely or almost completely in english. Some notes can also be found on Ondřej Darmovzal's website.

- M1100 - Mathematical Analysis I
- M1110 - Linear Algebra and Geometry I
- M1120 - Discrete Mathematics
- M1130 - Mathematics Seminar I
- M5140 - Graph Theory
- M6520 - Elementary Number Theory
- M7400 - Problem Solving Seminar

- M2100 - Mathematical Analysis II
- M2110 - Linear Algebra and Geometry II
- M2120 - Financial Mathematics
- M2130 - Mathematics Seminar II
- M2150 - Algebra I
- M4155 - Set Theory
- M7400 - Problem Solving Seminar

- M1160 - Introduction to Programming I
- M3100 - Mathematical Analysis III
- M3121 - Probability and Statistics I
- M3150 - Algebra II
- M7150 and M7151 - Category Theory [CZ/EN]
- M7400 - Problem Solving Seminar
- MA007 - Mathematical Logic

- M4122 - Probability and Statistics II
- M4170 - Measure and Integral
- M4180 - Numerical Methods I
- M4190 - Differential Geometry of Curves and Surfaces [CZ/EN]
- M6140 - Topology [CZ/EN]
- M7400 - Problem Solving Seminar
- M8195 - Number Theory Seminar

- M3130 - Linear Algebra and Geometry III
- M5110 - Rings and Modules [CZ/EN]
- M5130 - Global Analysis [CZ/EN]
- M5170 - Mathematical Programming
- M7400 - Problem Solving Seminar [EN]
- M9260 - Model Theory [EN]

- M6150 - Functional Analysis I
- M6170 - Complex Analysis
- M8250 - Topics in Category Theory [EN]
- IB005 - Formal Languages and Automata

- MD134 - Ordered Algebraic Structures
- MD136 - Homological Algebra [CZ/EN]
- M7110 - Differential Geometry [EN]
- M7120 - Spectral Analysis I
- IB107 - Computability and Complexity
- MA017 - Geometric Algorithms [EN]

- MD131 - Representation Theory [EN]
- MD140 - Singularity Theory [EN]
- M7190 - Game Theory
- M7230 - Galois Theory
- M8130 - Algebraic Topology [CZ/EN]
- M8250 - Topics in Category Theory [EN]
- IV003 - Algorithms and Data Structures II
- INNOLEC - Polynomial and Rational Convexity in Complex Geometry [EN]