university of pisa phd mathematics

• Skip to main navigation
• Skip to main content
• Skip to main search
• ‌ Academic Staff
• ‌  Administrative Staff

Amministrazione

Comunicazioni, offerta+vita, perché studiare alla normale + placement, fare ricerca in normale, laboratori e centri di ricerca, strumenti+disseminazione-ricerca, ricerca-fondi+brevetto, public engagement, disseminazione della ricerca, valorizzazione della ricerca, cerchi informazioni sui concerti della normale, mathematics, attività ricerca.

Mathematics is the oldest science, and still one of the most important and widely applicable. The mathematical tradition at the Scuola Normale is quite strong, and our PhD program prepares high-level researchers, who routinely go on to teach and do research in very prestigious institutions, in Italy and abroad. Although our program is mostly in pure mathematics, the preparation that one obtains can easily be put to use in a vast range of fields with high scientific and technological content.  One of the characteristics of the Scuola Normale is the constant flow of visitors and post-docs from all over the world; this, together with the financial support offered to our students for visits to research institutes and universities of very high standing, greatly enlarges their research horizons. Also, its limited size favors interaction among students in different disciplines, resulting in a remarkable cultural and personal enrichment.

The mathematical research at the Scuola Normale is concentrated in some of the most significant areas of mathematics at the international level.

• In calculus of variations, our main activity is in geometric measure theory, even in metric measure spaces, elliptic and parabolic partial differential equations, optimal mass transport and its applications.
• In harmonic analysis the main themes are invariant operators on Lie Groups, singular integrals, Fourier multipliers, and Radon transforms. Methods of commutative and noncommutative harmonic analysis are also applied to complex analysis. 
• In differential geometry and global analysis we treat non-linear problems in riemannian geometry and geometric evolutions, riemannian manifolds with special structures, such as solitons of the Ricci flow or quasi-Einstein manifolds, calibrated geometries and varieties with special holonomy, and the geometry of submanifolds. 
• In probability and stochastic analysis we investigate stochastic partial differential equations, particle systems and scaling limits, Kolmogorov and Fokker-Planck equations, applications in turbulence and geophysics.  
• In algebraic geometry we do research on algebraic stacks, essential dimension, actions of algebraic groups and their invariants, derived categories and toric varieties. 
• In number theory the most studied aspects are the applications of geometric methods to the problems of integral points, with particular stress on the effectivity of solutions, heights, and intersection problems in algebraic groups. 
• In dynamical systems we concentrate on problems of stability of quasi-periodic orbits, on KAM theory, on holomorphic dynamics, on the ergodic theory of continued fractions and on Teichmüller flows. 
• In numerical analysis and scientific computing our main research interests are in numerical linear algebra, especially sparse matrix algorithms, iterative methods, preconditioning, and functions of matrices.  Our activities range from theoretical foundations to algorithm development with applications to fluid mechanics, network science and quantum chemistry.

Attività didattica

Teaching is divided into lecture and seminar courses (all held in English). Graduate students in Mathematics will annually agree with the PhD Coordinator a study plan to be presented to the Faculty Board. Such a document will specify the planned research and education activities for the relevant academic year. The courses will be chosen to enlarge the student background and deepen specific aspects related to the PhD Thesis project. PhD students are expected to take at least three courses and to pass the corresponding exams. Students may be asked to follow some course from the Undergraduate program, to fill some gaps in their preparation and these may or may not be in addition to the above three compulsory courses, on a case by case basis. Students must pass the exams at the end of the first, second and third year, before a commission appointed by the Faculty Council. At the end of the first year students are expected, in close consultation with the Coordinator and with approval from the Faculty Council, to choose the Thesis supervisor and a preliminay project.  At the end of the second year students are expected to have a precise work plan, while at the end of the third year the results must have taken on an almost definitive form. During the fourth year the research must be completed and condensed into a thesis.

According to research needs, students are encouraged to spend periods of study and research at Italian and foreign institutions.

Seminars Oscillatory Integrals

" title="continuous and discrete stochastic analysis "> continuous and discrete stochastic analysis, explainable artificial intelligence, " title="introduction to continuum mechanics "> introduction to continuum mechanics, introduction to enumerative geometry., mathematical models for quantitative finance: market microstructure, networks, and systemic risk, metrics of curves for shape analysis and shape optimization, numerical analysis and optimization, numerical solution of saddle point problems, optimal transport and applications, " title="perturbative theory and lyapunov-schmidt reduction "> perturbative theory and lyapunov-schmidt reduction, problema of effectivity for diophantine equations, quantitative finance, statistical and machine learning models for time series analysis, " title="topics on algebraic surfaces "> topics on algebraic surfaces, introduction to machine learning, machine learning for the life sciences, doctorate coordinator, collegio docenti.

Luigi AMBROSIO , SNS Francesco AMOROSO , Université de Caen Michele BENZI , SNS/ Alessio CORTI , Imperial College London Alessio FIGALLI , ETH Zürich Franco FLANDOLI , SNS Andrea MALCHIODI , SNS Stefano MARMI , SNS Andrea Carlo Giuseppe MENNUCCI,  SNS Corinna ULCIGRAI , Universität Zürich Angelo VISTOLI , SNS Umberto ZANNIER , SNS

• Skip to main navigation
• Skip to main content
• Skip to main search

Start website main content

PhD programmes

Phd Programmes of Sant’Anna School aim to link basic and applied research in dynamic fashion, with a strong focus demands for innovation by industry and public institutions. Sant’Anna’s PhD programmes last three or four years: they are designed for bright young graduates, from Italy and abroad, who are admitted after a selective examination which values candidates’ educational background and their attitude for scientific research and interdisciplinary approach. All positions are fully-funded : the PhD student scholarship is renewed annually following a successful assessment. There are no tuition fees for the enrolment to the PhD.

How to apply

Calls open every year in January and close by June. Applications must be submitted on-line. Some programmes follow a different scheduling: please check timing and deadlines in every programme. The admission requirements are  Master Degree (M.Sc. or M.A.) or equivalent title Undergraduate students may also apply if they will graduate within 30 september.

Call for Applications for Admission to the Ph.D. Programmes Academic Year 2024/2025

Tutorial application form, phd courses.

Phd in Biorobotics

With more than 100 students enrolled (with an average of 30 or more students per year), the PhD in BioRobotics is among the largest doctoral schools in robotics and biomedical engineering in the world

PhD in Agrobiodiversity

The goal is to enhance human resource capacities in the use and management of genetic variation in agricultural and natural systems

PhD in Agrobiosciences

Three-year Programme structured in 2 curricula: Genomics and crop production; Agriculture, environment and landscape

PhD in Health Science, Technology and Management

The PhD concerns the topic of health and of the equity of health systems: characterized by complexity, interdisciplinarity and dynamism, they require innovation and management skills to be sustainable and ensure adequate levels of care for clients

PhD in Economics

A 4-year PhD programme in Economics designed for highly qualified and motivated students who wish to acquire the research and analytical skills of the international scientific community in economics

The Ph.D in Law involves a broad set of areas ranging from private and private comparative law, public comparative and European law, constitutional and administrative law, criminal – national and international – law, law and technology.

Phd in Management Innovation, Sustainability and Healthcare

The PhD in Management in Innovation, Sustainability and Healthcare deals with the most important management topics which characterize current research activities

PhD in Human Rights, Global Politics and Sustainability: Legal and Philosophical Perspectives

The ideal candidate is a curious and open-minded researcher, willing to explore the variety of disciplines and approaches the programme has to offer.

PhD in Emerging Digital Technologies

The PhD Programme in Emerging Digital Technologies is a three-year programme which provides an exhaustive training path with structured teaching and supervised research activities

Phd in Translational Medicine

The mission of the PhD Programme in Translational Medicine (henceforth named Programme) is to educate and train post-graduate students with diverse academic backgrounds and highly motivated to pursue a career in experimental biomedicine and/or clinic

PhD in collaboration with other Universities

PHD in Transnational Governance

The course combines structured teaching with close supervision activities by a dedicated faculty. The duration of the programme and its grants is four years

PhD in Sustainable Development and Climate Change

The programme is organized in 6 curricula which share two common goals: to propose new sustainable models to address climate change, and to build a learning and research community able to promote innovative solutions to the problems of society

PhD in Artificial Intelligence

The Italian National PhD Program in Artificial Intelligence is made of 5 federated PhD courses that bring together 61 universities and research institutions

National PhD in Gender Studies

The National PhD in Gender Studies aims to train highly skilled experts in the field of Gender Studies, Feminist Studies, Queer Studies, Masculinity Studies, Disability Studies, Racism Studies, and Intersectional Studies

PhD in Scientific, Technological and Social Methods enabling Circular Economy

The aim of the PHD program, coordinated by the University of Padua, is to train researchers to offer innovative solutions to facilitate the transition from the linear production economy model to the circular economy model

PhD in Space Science and Technology – SST

The goal is to train researchers in science, engineering, technology and international relations in the space sector through the development of knowledge, skills and expertise in the research areas of interest of the participating universities

PhD in Theoretical and Applied Neuroscience

Four curricula to study the complexity of the brain, from cellular mechanisms to cognitive, from computational models to relations with social sciences

PhD in Cybersecurity

The PhD in Cybersecurity aims at forming a new generation of scholars, and future decision makers, who can support and increase the resilience of citizens, public institutions, and businesses to cyber-attacks

Dottorato in analisi e controllo di strutture e opere d'arte infrastrutturali

Il corso è finalizzato e fornire competenze per l’esercizio di attività di ricerca qualificate e attività professionali di elevata innovatività sui temi di modellazione, monitoraggio e controllo di strutture e opere d’arte infrastrutturali

PhDRIM - Ph.D. program of national interest in Robotics and Intelligent Machines

DRIM brings together all the research and training areas aimed at studying, developing, and constructing innovative robotic systems and intelligent machines

Attachments

Open new browser tab to file: bando di concorso di ammissione dei corsi phd, anno accademico 2024-25 pdf - 403.2 kb, open new browser tab to file: call for admission phd 2024-2025 (english version) pdf - 439.36 kb, open new browser tab to file: brochure phd pdf - 1.16 mb, open new browser tab to file: tutorial online application form pdf - 1.4 mb.

MSCA-Postdoctoral Fellowships (PF) on “Advanced Iterative Methods for Convex Optimization”

Hosting Information

Organisation/institute, contact information, description.

Research project description

The project “ Advanced Iterative Methods for Convex Optimization ” aims to explore active research areas in convex optimization, focusing on iterative first-order methods. Its core research will focus on Frank-Wolfe (FW) algorithms and Bundle methods (BM), which have garnered increasing interest over the last decade, and have thus been applied across diverse fields, from integer programming to artificial intelligence to quantum information theory.

The project intends to study the deep relationships between FW and BM approaches to achieve better theoretical and practical convergence results, across different research lines, such as:

• optimization over the Cartesian product of multiple sets, leveraging the geometric properties of these problems, recent FW variants and already obtained results about incremental BM, to develop new theory;
• investigate the hybridization of FW and BM techniques to stabilize FW iterates (and, possibly, beyond, to encompass other gradient-based iterative methods);
• examine the practical efficiency of (hybridized) FW methods in computing approximate projections in high-dimensional optimization problems;
• implement the approaches in the context of the ambitious SMS++ framework to provide researchers and practitioners with advanced, compatible and reliable implementations that can be effectively used for practical applications across various domains.

We anticipate that the integration of computational techniques will not only deepen our theoretical insights but also yield advances in the several applications that can benefit from these algorithms.

The project will be hosted at the University of Pisa (UniPI), and supervised by Prof. Antonio Frangioni from UniPi. The hosting laboratory will be Computational mathematics LABboratory (CommaLAB) in the Department of Computer Science, gathering researchers from computational mathematics – in particular, optimization and numerical linear algebra – focused on developing theory and methods to solve real-world problems from several applications such as logistics, transportation, health, energy, cloud computing, telecommunications, network theory, and artificial intelligence. By integrating diverse competences in computational mathematics, CommaLAB provides an ideal environment for interdisciplinary research aiming to generate groundbreaking outcomes.

This fellowship is expected to result in the production of several articles on high-quality venues, paving the way for the advancement of the proposant to a junior research group leader, or professor, position.

Eligibility criteria

Applicants must have a PhD degree at the time of the deadline for applications (11 th September 2024). Applicants who have successfully defended their doctoral thesis but who have not yet formally been awarded the doctoral degree will also be considered eligible to apply.

At the call deadline, the applicant must have a maximum of 8 years of experience in research, from the date of the award of their PhD degree. Years of experience outside research and career breaks will not count towards the above maximum, nor will years of experience in research in third countries, for nationals or long-term residents of EU Member States or Horizon Europe Associated Countries who wish to reintegrate to Europe .

The applicant may be of any nationality, but must not have resided or carried out their main activity (work, studies, etc.) in Italy for more than 12 months in the 3 years immediately before 11 th September 2024.

Application procedure

Expressions of interest must be sent by email to [email protected] no later than May 31, 2024, and must consist of two pdf files:

• Complete and updated CV, clearly demonstrating all 3 eligibility requirements.
• Motivation letter, maximum one page.

Mathematics

Congrats to 2024 outstanding teaching assistants.

• myPNW Login
• Brightspace Login
• PNW Calendar
• Scholarships
• Tuition and Fees

« All Events

Deadline to Submit Summer 2024 Application to Graduate

Students completing their degree requirements during any summer 2024 session must apply to graduate by Saturday, June 16, in MyPNW on the Graduation tab. This application is required whether or not you plan to participate in a Commencement ceremony. Information from the application is used to order your diploma.

Summer graduates may participate in the December 2024 Commencement ceremony.

For more information regarding Graduation requirements and Commencement participation, visit the Pre-Graduation Guide for critical deadlines and valuable resources.

See the Full Academic Schedule

To request a disability-related accommodation, please contact the Office of Institutional Equity at [email protected] or (219) 989-2163 five days prior to the event.

• Google Calendar
• Outlook 365
• Outlook Live

Annual hooding ceremony celebrates graduate students

KOKOMO, Ind. — Indiana University Kokomo celebrated the hard work and dedication of its graduate students, honoring them in the annual master’s hooding ceremony held Friday (May 3) in Havens Auditorium.

“We are delighted to celebrate the achievements of these degree candidates with all of you,” IU Kokomo Chancellor Mark Canada told the audience of friends and family. “We know that our students have counted on the support of family and friends to make this day possible.”

Fifty-three students in the Master of Business Administration (MBA), Master of Public Management (MPM), Master of Science in Education, Master of Science in Criminal Justice and Public Safety, Master of Arts in Mental Health Counseling, Master of Science in Nursing (MSN), and Master of Arts for Teachers programs received hoods that recognized their achievements in their degree programs.

Hoods were draped over each graduate by a faculty member who played an important role in their time at IU Kokomo, exchanging a handshake or hugging afterwards.

“It feels very rewarding,” Parker Woods said. Woods was recognized during the ceremony as an outstanding student in the MBA program.

Woods chose to earn his master’s “as a personal goal,” and to put himself in a position to advance his career.

“It’s something that you look at on the horizon, because it seems so far away, but I’m excited to cross the finish line,” he said.

Sarah Napier is the second person in her family to earn a master’s degree. “It’s nice because it’s done,” Napier said. “It’s monumental.”

Napier chose to get her master’s degree, to expand upon the opportunities available to her with her bachelor’s degree in new media, art and technology with a minor in public management.

“What I want to do is work to help people get the resources they need,” she said. “Public management helps to give me more understanding.”

Outstanding student award winners are:

Master of Business Administration (MBA): Parker Woods

Master of Arts in Mental Health Counseling: Shiloh Pullen

Master of Public Management (MPM): Syenna Powell

Master of Science in Nursing (MSN): Melissa Cohee

Graduate students earning master’s degrees are listed by degree and hometown. They include:

Master of Business Administration:

Alexandria: Alana Billings

Bunker Hill: Derek Davies

Carmel: Mikayla Tom

Cicero: Christian Humbert

Frankfort: Megan Wall

Greentown: McKenzie Cooper

Kokomo: Peter Davis, Kathia Garcia, Isaac Hogsett, Corbin Kuntz, Grace Russell

Logansport: Bryce Reish

Noblesville: Dakota Crandall

Peru: Alexander Beer

Sheridan: Katelyn McMillan

Swayzee: Emily Wilkison

Sweetser: Logan Schultz

Tipton: Parker Woods

Master of Public Management:

Huntington: Katie Stanley

Kokomo: Abdullah Albaqshi (Saudi Arabia), Marisha Besser, Sarah Napier, Syenna Powell, Kimberly Vazquez

Master of Science in Education (Educational Technology for Learning):

Walton: Michael Sommers

Master of Science in Criminal Justice and Public Safety:

Danville: Leighanna Shoemaker

Master of Arts in Mental Health Counseling:

Galveston: Dereka Samuel

Gas City: Allison Tignor

Greentown: Courtney Altherr

Kokomo: Erinn Adam, Amber Beatty, Shaylee Clark, Emma McGregor, Shiloh Pullen, Holly Widner

Logansport: Robert Irwin, Olivia Torres

Russiaville: Regan Head

Somerset: Schalene Shafer

Tipton: Chyenna Mills

Master of Science in Nursing:

Carmel: Keyla Matthews

Flora: Samantha Feltner

Galveston: Melissa Cohee

Kokomo: Amanda Lewis, Cassie McKillip, Olivia Younce

Lebanon: Jessica Haltom, Rebecca Holloman

Walton: Kassidy Clem

Master of Arts for Teachers (Mathematics):

Greentown: Benjamin Diener

Education is KEY at Indiana University Kokomo.

Contact Info

Erin Witt, director of media and marketing 765-455-9468 [email protected] Danielle Rush, communications specialist 765-432-9906 [email protected]

Filed under:

More stories.

EV plants bring jobs, challenges to Kokomo economy

Euclid mission focus of November Observatory open house

Social media.

• Facebook for IU Kokomo
• Twitter for IU Kokomo
• Instagram for IU Kokomo
• Youtube for IU Kokomo

Indiana University Kokomo

Indiana university.

• Have a question? AskIU
• Learn more about UITS
• Outlook Web Access
• Federally Required Disclosures
• Information Privacy Policy
• 15 to finish
• Non-Discrimination Notice
• Majors and Degrees
• IT Knowledge Base
• Academic Calendars
• IT Services (UITS)
• Report an Accessibility Concern