What you'll study
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Further knowledge of English language (C1)
3 CFU - code 145328
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Geometric Analysis
9 CFU - code 145538
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Geometry and Topology for Data Analysis
6 CFU - code 145905
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Mathematical Biology
9 CFU - code 145145
-
Partial Differential Equations
9 CFU - code 145393
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Partial differential equations
6 CFU - code 145139
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Numerical methods for PDEs
6 CFU - code 145152
-
Scientific computing
9 CFU - code 145427
-
Statistical models
6 CFU - code 145914
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Statistics of Stochastic Processes
6 CFU - code 145256
-
Stochastic Processes
9 CFU - code 145435
-
Advanced Statistical Methods
6 CFU - code 145902
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Bayesian statistics
6 CFU - code 145561
-
Bio-Medical Imaging
6 CFU - code 145338
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Cardiac Modelling
6 CFU - code 146248
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Data analysis and exploration
6 CFU - code 145136
-
Deep Learning
6 CFU - code 145903
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Digital Epidemiology
6 CFU - code 146200
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Dynamical systems
6 CFU - code 146213
-
Financial Markets and Economic Activity
6 CFU - code 121395
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Fourier Analysis
6 CFU - code 145434
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Graphical models and network science
6 CFU - code 146049
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Machine learning
6 CFU - code 145062
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Markov Decision Processes and Reinforcement Learning
6 CFU - code 146214
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Markets and Financial Intermediaries (Advanced Course)
10 CFU - code 121469
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Modelling in Biomechanics
3 CFU - code 146379
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Network Modelling and Simulation
6 CFU - code 145910
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Optimal transport
6 CFU - code 146211
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Physiological flow and transport in porous tissues
6 CFU - code 145392
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Scientific programming
6 CFU - code 145912
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Spatial Models in Biology and Epidemiology
6 CFU - code 146374
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Stochastic Differential Equations
6 CFU - code 145159
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Stochastic processes (I modulo)
6 CFU - code 145157
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Investment and derivatives
10 CFU - code 121470
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Tensor Decomposition for Big Data Analysis
6 CFU - code 145909
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Theoretical Biomechanics
6 CFU - code 146377
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Workshop on Financial simulation
6 CFU - code 121414
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Stage/Internship
12 CFU - code 145270
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Thesis (18 CFU)
18 CFU - code 145669
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Thesis (30 CFU)
30 CFU - code 145668
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Advanced Statistical Methods
6 CFU - code 145902
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Applications of Mathematics to Biology and Medicine
6 CFU - code 146378
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Applied Stochastic Processes
6 CFU - code 145991
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Bayesian statistics
6 CFU - code 145561
-
Bio-Medical Imaging
6 CFU - code 145338
-
Cardiac Modelling
6 CFU - code 146248
-
Computational Haemodynamics
6 CFU - code 146376
-
Data analysis and exploration
6 CFU - code 145136
-
Deep Learning
6 CFU - code 145903
-
Digital Epidemiology
6 CFU - code 146200
-
Financial Markets and Economic Activity
6 CFU - code 121395
-
Fourier Analysis
6 CFU - code 145434
-
Graphical models and network science
6 CFU - code 146049
-
Inverse Problems in Biology and Medicine
6 CFU - code 146375
-
Machine learning
6 CFU - code 145062
-
Markov Decision Processes and Reinforcement Learning
6 CFU - code 146214
-
Mathematical Control Theory
6 CFU - code 145259
-
Markets and Financial Intermediaries (Advanced Course)
10 CFU - code 121469
-
Modelling in Biomechanics
3 CFU - code 146379
-
Network Modelling and Simulation
6 CFU - code 145910
-
Optimal transport
6 CFU - code 146211
-
Physiological flow and transport in porous tissues
6 CFU - code 145392
-
Scientific programming
6 CFU - code 145912
-
Spatial Models in Biology and Epidemiology
6 CFU - code 146374
-
Stochastic Differential Equations
6 CFU - code 145159
-
Stochastic processes (I modulo)
6 CFU - code 145157
-
Investment and derivatives
10 CFU - code 121470
-
Tensor Decomposition for Big Data Analysis
6 CFU - code 145909
-
Theoretical Biomechanics
6 CFU - code 146377
-
Workshop on Financial simulation
6 CFU - code 121414
-
Coding Theory and Applications
6 CFU - code 145394
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Computational algebra
6 CFU - code 145135
-
Public-key and post-quantum cryptography
6 CFU - code 146370
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Symmetric cryptography and finite fields
6 CFU - code 146369
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Further knowledge of English language (C1)
3 CFU - code 145328
-
Mathematical Physics Quantum and Relativistic Theories
9 CFU - code 145907
-
Scientific computing
9 CFU - code 145427
-
Statistics of Stochastic Processes
6 CFU - code 145256
-
Stochastic Processes
9 CFU - code 145435
-
Stochastic processes (I modulo)
6 CFU - code 145157
-
Advanced Algebra
6 CFU - code 146368
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Advanced Programming of Cryptographic Methods
6 CFU - code 145508
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Advanced Public-key Cryptography
6 CFU - code 146372
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Advanced Symmetric Cryptography
6 CFU - code 146371
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Algebraic geometry I
6 CFU - code 145131
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Applied Cryptography
6 CFU - code 145777
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Automated Reasoning and Formal Verification
12 CFU - code 146318
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Blockchain
6 CFU - code 146157
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Computability and computational complexity
6 CFU - code 145451
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Cryptographic Protocols for Secure Networks and Applications
6 CFU - code 146266
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Digital signal processing
6 CFU - code 145190
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Introduction to Computer and Network Security
6 CFU - code 145937
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Multimedia Data Security
6 CFU - code 145614
-
Quantum information
6 CFU - code 146373
-
Stage/Internship
12 CFU - code 145270
-
Thesis (18 CFU)
18 CFU - code 145669
-
Thesis (30 CFU)
30 CFU - code 145668
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Advanced Number Theory
6 CFU - code 145953
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Advanced Programming of Cryptographic Methods
6 CFU - code 145508
-
Advanced Public-key Cryptography
6 CFU - code 146372
-
Advanced Symmetric Cryptography
6 CFU - code 146371
-
Algebraic geometry I
6 CFU - code 145131
-
Applied Cryptography
6 CFU - code 145777
-
Automated Reasoning and Formal Verification
12 CFU - code 146318
-
Blockchain
6 CFU - code 146157
-
Computability and computational complexity
6 CFU - code 145451
-
Cryptographic Protocols for Secure Networks and Applications
6 CFU - code 146266
-
Digital signal processing
6 CFU - code 145190
-
Discrete Fourier analysis
6 CFU - code 145212
-
Introduction to Computer and Network Security
6 CFU - code 145937
-
Multimedia Data Security
6 CFU - code 145614
-
Quantum information
6 CFU - code 146373
-
Mathematical Models for the Physical, Natural and Social Sciences
6 CFU - code 145151
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Fisica Moderna
12 CFU - code 145155
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Further knowledge of English language (C1)
3 CFU - code 145328
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Computational algebra
6 CFU - code 145135
-
Elementary Mathematics from a Higher Viewpoint
6 CFU - code 145904
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Experimental Mathematics Laboratory at School Level
6 CFU - code 145154
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Foundations of Analysis
6 CFU - code 145142
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Foundations of Geometry
6 CFU - code 145253
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Laboratory of Didactics of Mathematics
6 CFU - code 145144
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Mathematical Logic
6 CFU - code 145146
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Experimental Physics Laboratory at High School Level I
6 CFU - code 145153
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Experimental Physics Laboratory at High School Level II
6 CFU - code 145215
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Interactive Theorem Proving
6 CFU - code 146366
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Laboratory Tecniques for Mathematics Teaching
6 CFU - code 145906
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Statistical models
6 CFU - code 145914
-
Stage/Internship
12 CFU - code 145270
-
Thesis (18 CFU)
18 CFU - code 145669
-
Thesis (30 CFU)
30 CFU - code 145668
-
Computational algebra
6 CFU - code 145135
-
Elementary Mathematics from a Higher Viewpoint
6 CFU - code 145904
-
Experimental Mathematics Laboratory at School Level
6 CFU - code 145154
-
Foundations of Geometry
6 CFU - code 145253
-
Laboratory of Didactics of Mathematics
6 CFU - code 145144
-
Mathematical Logic
6 CFU - code 145146
-
Further knowledge of English language (C1)
3 CFU - code 145328
-
Advanced Analysis
9 CFU - code 145129
-
Advanced Geometry
9 CFU - code 145130
-
Coding Theory and Applications
6 CFU - code 145394
-
Computational algebra
6 CFU - code 145135
-
Mathematical Logic
6 CFU - code 145146
-
Partial Differential Equations
9 CFU - code 145393
-
Mathematical Physics - Differential Geometric Methods
9 CFU - code 145908
-
Mathematical Physics Quantum and Relativistic Theories
9 CFU - code 145907
-
Numerical methods for PDEs
6 CFU - code 145152
-
Stochastic Processes
9 CFU - code 145435
-
Advanced Algebra
6 CFU - code 146368
-
Advanced Topics in Analysis
6 CFU - code 145507
-
Algebraic Topology
6 CFU - code 145506
-
Algebraic geometry I
6 CFU - code 145131
-
Dynamical systems
6 CFU - code 146213
-
Foundations of Analysis
6 CFU - code 145142
-
Fourier Analysis
6 CFU - code 145434
-
Geometric Analysis
9 CFU - code 145538
-
Geometric Measure Theory
6 CFU - code 145258
-
Interactive Theorem Proving
6 CFU - code 146366
-
Mathematics for Quantum Fields
6 CFU - code 146367
-
Minimal surfaces
6 CFU - code 146115
-
Model theory
6 CFU - code 145407
-
Optimal transport
6 CFU - code 146211
-
Stochastic Differential Equations
6 CFU - code 145159
-
Toric Geometry
6 CFU - code 146212
-
Stage/Internship
12 CFU - code 145270
-
Thesis (18 CFU)
18 CFU - code 145669
-
Thesis (30 CFU)
30 CFU - code 145668
-
Advanced Calculus of Variations
6 CFU - code 145557
-
Advanced Number Theory
6 CFU - code 145953
-
Algebraic geometry I
6 CFU - code 145131
-
Algebraic geometry II
6 CFU - code 145132
-
Fourier Analysis
6 CFU - code 145434
-
Geometric Analysis
9 CFU - code 145538
-
Geometric Measure Theory
6 CFU - code 145258
-
Interactive Theorem Proving
6 CFU - code 146366
-
Mathematical Control Theory
6 CFU - code 145259
-
Mathematics for Quantum Fields
6 CFU - code 146367
-
Minimal surfaces
6 CFU - code 146115
-
Optimal transport
6 CFU - code 146211
-
Real Algebraic Geometry
6 CFU - code 145566
-
Set theory
6 CFU - code 145156
-
Stochastic Differential Equations
6 CFU - code 145159
You will acquire knowledge of the fundamentals of pure and applied mathematics and develop skills in at least one other discipline and its mathematical applications.
Over the two years, depending on the pathway chosen, you will gain
Theoretical skills: in-depth study of the theoretical foundations of mathematics in areas such as advanced algebra, geometry, calculus, partial differential equations and dynamical systems.
Cryptography and coding theory: knowledge of modern methods in computational algebra, cryptography and error-correcting codes.
Analysis of complex systems: Skills in analysing and modelling complex biological systems, biomedical applications and mathematical finance.
Data Science and Statistics: Data analysis techniques, statistical modelling and applications in the biological and social sciences.
Teaching and communication: methods of teaching and communicating in mathematics and science, with an emphasis on effective learning.
You will work with a high degree of autonomy, taking responsibility for complex projects and developing the scientific method of investigation, logical-deductive reasoning and inductive methods related to experimentation.
Career Opportunities
The course prepares you for careers in the following areas
- Cryptography and code theory
- Mathematical finance
- Statistics and data science
- Mathematical modelling in biology and medicine
- scientific communication
- Teaching in secondary or higher education
- Research
You will be able to work in areas such as
- Banks and insurance companies
- Financial and securities companies
- IT consultancies
- Biomedical and pharmaceutical companies
- Data analysis companies
- Publishing and scientific communication.
Further Studies
The Master's degree in Mathematics provides access to a PhD in Mathematics, both in Italy and in Europe and the United States, as well as to PhDs in other sciences where mathematics plays an important role, such as Physics, Computer Science and Telecommunications Engineering. At UniTrento, you can find: