Study programme - Approved
Academic year:
 2024/2025
Study programme:
 Geometry and Topology (dGTL)
(Single degree study, Ph.D. III. deg., full time form)
Teaching languages: English, Slovak
Study field:
 22. Mathematics
Person responsible for the delivery, development and quality of the study programme:
 doc. RNDr. Pavel Chalmovianský, PhD.

Study section
Compulsory courses

Block: Obligatory Subjects
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-101/10  Individual Study of Science and Research Resources (1) - FMFI.KAG, tutor 1/W    10IW   10        
 3-MGT-102/10  Individual Study of Science and Research Resources (2) - FMFI.KAG, tutor 1/S    10IW   10        
 3-MGT-103/10  Individual Study of Science and Research Resources (3) - FMFI.KAG, tutor 2/W    10IW   10        
 3-MGT-104/10  Individual Study of Science and Research Resources (4) - FMFI.KAG, tutor 2/S    10IW   10        
 
Compulsory elective courses

Block: Obligatory-Optional Subjects min. 30 credits
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-012/00  Algebraic Topology (1) - T. Macko 1/W    4L   10   C      
 3-MGT-008/22  Commutative Algebra - P. Chalmovianský, M. Mačaj 1/W    4L   10   C      
 3-MGT-024/10  Contemporary Geometric Modeling - P. Chalmovianský 1/W    4L   10   C      
 3-MGT-030/10  General Topology - T. Macko, J. Guričan 1/W    4L   10   C      
 3-MGT-021/10  Fundamentals of Geometry - T. Macko, J. Chalmovianská 1/W    2L   7   C      
 3-MGT-013/00  Algebraic Topology (2) - T. Macko 1/S    2L   7   C      
 3-MGT-016/00  Global Differential Geometry - P. Chalmovianský 1/S    2L   7   C      
 3-MGT-023/10  Classical Differential Geometry - P. Chalmovianský 1/S    2L   7   C      
 3-MGT-027/10  Visualisation and Virtual Environments - A. Ferko 1/S    4L   10   C      
 3-MGT-010/22  Algebraic Geometry - P. Chalmovianský 2/W    4L   7   C      
 3-MGT-026/10  Machine Vision and Image Processing - A. Ferko 2/W    2L   7   C      
 3-MGT-031/10  Category Theory - T. Macko 2/W    2L   7   C      
 3-MGT-017/10  Selected Topics in Low-Dimensional Topology - T. Macko, M. Niepel 2/W    2L   7   C      
 3-MGT-014/00  Differential Topology - T. Macko 2/S    2L   7   C      
 3-MGT-002/00  Constructive Applied Geometry - P. Chalmovianský 2/S    2L   7   C      
 3-MGT-015/00  Lie Groups and Algebras - T. Macko, M. Niepel 2/S    2L   7   C      
 3-MGT-032/15  Real Algebraic Geometry - P. Chalmovianský 2/S    4L   10   C      
 3-MGT-025/10  Trends and Applications of Computer Graphics - A. Ferko 2/S    4L   10   C      
 3-MGT-018/10  Introduction to Symplectic Topology - T. Macko, M. Niepel 2/S    2L   7   C      
 
Elective courses

Block: Electives
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MXX-101/15  Course of English for PhD Studies (1) - A. Zemanová, S. Dobiašová, A. Barnes 1/W    2P   5        
 2-MAT-214/09  Differential Topology - T. Macko W    2L   4        
 2-MAT-617/09  Category Theory (1) - T. Macko, T. Rusin W    2L   3        
 2-MAT-211/15  General Topology - M. Sleziak, T. Macko W    4L   5        
 2-MAT-223/09  Algebraic Topology - T. Macko S    4L   6        
 3-MXX-102/15  Course of English for PhD Studies (1) - A. Zemanová, S. Dobiašová, A. Barnes 1/S    2P   5        
 2-MAT-122/15  Nonlinear Functional Analysis - M. Fečkan, J. Pačuta S    2P + 2L   5        
 3-MGT-203/10  Department Seminar - FMFI.KAG, tutor S    2S   5        
 2-MAT-622/09  Category Theory (2) - T. Macko S    2L   3        
 2-MAT-123/15  Calculus of Variations - P. Quittner S    2P + 2L   6        
Predmety magisterského štúdia v tomto bloku sú doplnkové. Doplnkový predmet si môže zapísať iba doktorand, ktorý ho neabsolvoval na nižšom stupni štúdia.
 

Research section

Block: List of Publications
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-301/10  Category A Publication - A. Ferko, P. Chalmovianský, T. Macko S      35   C      
 3-MGT-302/10  Category B Publication - A. Ferko, P. Chalmovianský, T. Macko S      25   C      
 3-MGT-303/10  Category C Publication - A. Ferko, P. Chalmovianský, T. Macko S      20   C      
 3-MGT-304/10  Category D Publication - A. Ferko, P. Chalmovianský, T. Macko S      10   C      
Kredity = 0*xy (tu uvedené číslo), ak podiel doktoranda je xy%.

Block: Active Presentation of Results
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-403/10  Presentation at a Home Conference without International Participation - A. Ferko, P. Chalmovianský, T. Macko S      7   C      
 3-MGT-402/10  Presentation at a Home Scientific Conference with International Participation - A. Ferko, P. Chalmovianský, T. Macko S      15   C      
 3-MGT-401/10  Presentation at a Scientific Conference or Academic Scientific Seminar Abroad - A. Ferko, P. Chalmovianský, T. Macko S      20   C      
 3-MGT-404/10  Presentation at a Department Seminar on Science - A. Ferko, P. Chalmovianský, T. Macko S      5   C      

Block: Dissertation Thesis
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-503/10  Completion of Defined Stage of PhD Research Project (1) - FMFI.KAG, tutor 3/W      10        
 3-MGT-504/10  Completion of Defined Stage of PhD Research Project (2) - FMFI.KAG, tutor 3/S      10        
 3-MGT-505/10  Completion of Defined Stage of PhD Research Project (3) - FMFI.KAG, tutor 4/W      10        

Block: Grants, Responses and Other
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-704/15  Quotation Registered in WoK or SCOPUS - A. Ferko, P. Chalmovianský, T. Macko S      4   C      
 3-MGT-705/10  Quotation in a Monograph - A. Ferko, P. Chalmovianský, T. Macko S      4   C      
 3-MGT-707/10  Quotation in Work with no Foreign Author - A. Ferko, P. Chalmovianský, T. Macko S      2   C      
 3-MGT-706/10  Quotation in Work with at Least One Foreign Author - A. Ferko, P. Chalmovianský, T. Macko S      3   C      
 3-MGT-703/10  Home Project Co-researcher - A. Ferko, P. Chalmovianský, T. Macko S      10   C      
 3-MGT-702/10  International Project Co-researcher - A. Ferko, P. Chalmovianský, T. Macko S      15   C      
 3-MGT-709/10  Development of Novel Software Product Linked with PhD Project - A. Ferko, P. Chalmovianský, T. Macko S      7   C      
 3-MGT-708/10  Introduction of Novel Experimental Method Linked with PhD Project - A. Ferko, P. Chalmovianský, T. Macko S      7   C      
 3-MGT-701/10  Obtaining a University Grant - A. Ferko, P. Chalmovianský, T. Macko S      20   C      

Other activities

Block: Teaching Activities
Výber aspoň 10 kreditov v každom semestri v prvých troch rokoch štúdia.
Subject code Subject title - Teacher Ac. year
/Semester		 Range
and form		 Credits Core
course		 Current
 3-MGT-801/15  Teaching Practice in the Winter Semester - P. Chalmovianský 1/W      10   C      
 3-MGT-809/10  Diploma Thesis Guidance - P. Chalmovianský S      4   C      
 3-MGT-805/10  Participation in a Conference Organising Committee - P. Chalmovianský S      3   C      
 3-MGT-802/15  Teaching Practice in the Summer Semester - P. Chalmovianský 1/S      10   C      
 3-MGT-806/10  Creation of Teaching Texts and Aids - P. Chalmovianský S      6   C      
 3-MGT-803/10  BSc Thesis Supervision - P. Chalmovianský S      10   C      
 3-MGT-804/10  Guidance of a Project Presented at the Students´ Conference - P. Chalmovianský S      10   C      
 3-MGT-808/10  Writing BSc Thesis Assessment Protocol - P. Chalmovianský S      4   C      
 3-MGT-807/10  Study Stay Abroad - P. Chalmovianský S      3   C      
Predmety tohto bloku hodnotí vedúci katedry.

State exams
Compulsory courses

Block: State Examination
Subject code Subject title Credits Current
 3-MGT-950/15  Dissertation Examination 20        
 3-MGT-990/15  Dissertation Thesis Defense 30        
 

Such a symbol can occur after the teaching range: d - days in a semester, h - hours in a week, r - hours in a year, s - hours in a semester, t - weeks in a semester
When none of these symbols are given, expected range of teaching is "hours in a week".
Form: P - practicals, IW - independent work, E - excursion, O - other, C - course, LP - laboratory practicals, p - practical, TS - training session, L - lecture, S - seminar, FW - fieldwork, X - practice, I - internship