Wallenberg Postdoctoral Fellow
Dept. of Mathematics
Northeastern University
+1 617 373 4456
i.martino@northeastern.edu
Click here for the mailing address
Curriculum Vitae
Publications List
My Google Scholar profile
My arXiv profile
My math family tree
I am an organizer of the Geometry, Algebra, Singularities, Combinatorics (GASC) seminar and the Pick My Brain Seminar. I am the faculty advisor of the Math Club.
I belong to the Diversity Committee of the Department of Mathematics and I help and support the Diversity Committee of the College of Science.
Short Bio. In Sept 2016, I was appointed as Zelevinsky Research Instructor at the Department of Mathematics of Northeastern University.
Before coming to US, I was a Swiss National Science Foundation (SNSF) Postdoc at the University of Fribourg. Here it is the link to my previous research group: A:C&T.
I did my doctoral studies at Stockholm University. I was a student of Anders Björner and Torsten Ekedahl. Click here if you want to see my math family tree.
News
The deadline for applications for the Independent Research Experience
for undergraduate students is on Thursday 15 February 2018.
Aaron Lauda will give a series of Lectures:
Diagrammatic algebra
Wednesday, February 21, 2018, 45:30pm. Room: BK 010.
A new look at quantum knot invariants
Thursday, February 22, 2018, .4:305:30pm. Room: LA 509. Colloquium.
Higher categories and twodimensional topology
Friday, February 23, 2018, 45:30pm. Room BK 010. Lecture 2.
Diagrammatic algebra
Wednesday, February 21, 2018, 45:30pm. Room: BK 010.
A new look at quantum knot invariants
Thursday, February 22, 2018, .4:305:30pm. Room: LA 509. Colloquium.
Higher categories and twodimensional topology
Friday, February 23, 2018, 45:30pm. Room BK 010. Lecture 2.
Future Events
a Special Session on
Topics in Toric Geometry
on April 21  22, 2018
at AMS Sectional Meeting,
at the Northeastern University
in Boston, USA.
Scientific Production
 Group generated in complex codimension two with Rahul Singh;
 Zmatroids with Alex Fink;
 Group generated in real codimension two with Rahul Singh;
 CohenMacaulay Property and linearity of pinched Veronese Rings with Ornella Greco;
 Subspace arrangements and motives of classifying stacks of reflection groups with Emanuele Delucchi;
 Face module for realizable Zmatroids, accepted in Contributions to Discrete Mathematics;
 Introduction to the Ekedahl Invariants, MATH. SCAND. 120 (2017), 211–224a, DOI: https://doi.org/10.7146/math.scand.a25693;
 The Ekedahl Invariant for finite groups J. Pure Appl. Algebra 220 (2016), no. 4, 1294–1309, DOI:10.1016/j.jpaa.2015.08.019;
 Syzygies of the Veronese Modules with Ornella Greco Comm. Algebra 44 (2016), no. 9, 3890–3906, DOI:10.1080/00927872.2015.1027389;
 Vertices Collapsing and Cuts Ideals; Serdica Math. J. 41 (2015), 229242;
 On the variety of linear recurrences and numerical semigroups with Luca Martino Semigroup Forum 88 (2014), no. 3, 569–574. 20M14, DOI:10.1007/s0023301395512;
 An algebraic proof for the identities for the degree of syzygies in numerical semigroup with Neeraj Kumar, LE MATEMATICHE, Vol. LXVII (2012)  Fasc. I, pp. 8189, DOI: 10.4418/2012.67.1.8;
 Global Optimization for Algebraic Geometry  Computing RungeKutta Methods with Giuseppe Nicosia, Learning and Intelligent Optimization, Lecture Notes in Computer Science, 2012, 449454, DOI:10.1007/9783642344138_43;
 Regular sequences of power sums and complete symmetric polynomials with Neeraj Kumar, LE MATEMATICHE, Vol. LXVII (2012)  Fasc. I, pp. 103117, doi:10.4418/2012.67.1.10;
 Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties, PhDThesis;
 The Ekedahl Invariant for finite groups, Licentiate (HalfPhD) Thesis;
 Signal functions on Semigroup, Diploma Thesis.
Upcoming
Preprints
Submitted articles
Published articles
Thesis


1. Algebraic Geometry Northeastern Series, October 1315, 2017, Northeastern Univeristy, Boston, Massachusetts; 2. Spring Eastern Sectional Meeting, April 2122, 2018, Northeastern Univeristy, Boston, Massachusetts; 
Future Events
a Special Session on
Topics in Toric Geometry
on April 21  22, 2018
at AMS Sectional Meeting,
at the Northeastern University
in Boston, USA.
Past Events
Given talks
Here there is a list of research talks I have given:
 Sep 25, 2017, Pre  Talk at GASC seminar, Northeastern University, MA, USA;
 Sep 12, 2017, Pick My Brain Seminar, Northeastern University, MA, USA;
 March 20, 2017, Brown University Algebra and Algebraic Geometry Seminars, Providence, Rhode Island;
 March 1, 2017, Graduate Student Seminar of Northeastern University, Boston, MA;
 February 16, 2017, Florida Stare University, Tallahasse, Florida;
 May 3, 2016, Colloquium, Université de Neuchâtel , Switzerland;
 January 2429, 2016, Seminar on Matroids in Algebra, Representation theory and Topology, Borel Seminar 2016, Les Diablerets, Switzerland;
 November 18, 2015, Oberseminar Geometrie, Fribourg, Switzerland;
 October 23 2015, UCLA, California, USA;
 October 22, 2015, Caltech, California, USA;
 October 19 2015, University of British Columbia, Canada;
 October 16, 2015, Berkeley, California, USA;
 October 14, 2015, San Francisco State University, California, USA;
 October 12, 2015, University of Miami, Florida;
 October 8, 2015, Yale, New Haven, Connecticut, USA;
 October 7, 2015, Northeastern Univeristy, Boston, Massachusetts, USA;
 September 9, 2015, Algebraic Geometry Seminar at Stockholm University, Sweden;
 April 1819, 2015, AMS Western Sectional Meeting: Special Session on AlgebroGeometric Methods in Graph Theory, Las Vegas, California, USA;
 MarchJune 2015, Topological Methods Thematic semester, Fribourg, Switzerland;
 February 1128, 2015, Perspectives in Lie Theory, Algebraic topology, geometric and combinatorial group theory, Pisa, Italy;
 January 1930, 2015, Perspectives in Lie Theory, Lie Theory and Representation Theory, Pisa, Italy;
 December 17, 2014, Oberseminar Geometrie, Fribourg, Switzerland;
 December 10, 2014, Séminaire Autour des Cycles Algébriques, Paris, France;
 December 13, 2014, Arrangements of Hyperplanes, Bremen, Germany
 September 813, 2014, International meeting on numerical semigroups, Cortona, Italy;
 May 28, 2014, PhDthesis discussion, Stockholm, Sweden;
 October 30, 2013, Helsinki Combinatorics Seminar, Helsinki, Finland;
 October 7, 2013, Christer Lech Lecture, Stockholm, Sweden;
 October 1, 2013, Uppsala Algebraic Geometry Seminar, Uppsala, Sweden;
 June 10  14, 2013, Advances in Group Theory and Applications 2013, Lecce, Italy;
 May 27  31, 2013, Syzygies in Berlin , Berlin, Germany;
 May 21, 2013, Licentiate Seminar, Stockholm, Sweden.
 February 2024, 2013 ETAM, Etna Triangulations & Algebra Meeting, Catania, Sicily.
 Dec 18, 2012, MSRIprogram in Commutative Algebra , San Francisco, California, USA.
 July 1820, 2012, Workshop: Iberian meeting on numerical semigroups, Vila Real, Portugal.
 January 1620, 2012, Learning and Intelligent Optimization Conference, LION 6, Paris, France.
 December 12, 2011, After Pragmatic MiniConference, Stockholm, Sweden.
 November 1819, 2011, Svenska matematikersamfundet's meeting, Swedish Mathematical Society , Linköping, Sweden.
 October 69, 2011, Siam Conference on Applied Algebraic Geometry , Raleigh, North Carolina, USA.
Here there is a list of divulgative talks I have given:
 Dec 7, 2017, Independence day: Matroids  Math Club talk of Northeastern University , Boston, MA.
 Nov 2, 2017, Groups  Math Club talk of Northeastern University , Boston, MA.
 Oct 19, 2017, Semigroups  Math Club talk of Northeastern University , Boston, MA.
 Oct 5, 2017, Determinant  Math Club talk of Northeastern University , Boston, MA.
 Sept 21, 2017, Counting lattice points  Math Club talk of Northeastern University , Boston, MA.
 Sept 7, 2017, The coin problem  Math Club talk of Northeastern University , Boston, MA.
 April 11, 2017, La bellezza delle carte  Italian Club of Northeastern University, Boston, MA;
 March 1, 2017, Counting lines in the affine plane over finite fields  Graduate Student Seminar of NU, Boston, MA;
 March 2, 2017, The Game SET  Math Club talk of Northeastern University , Boston, MA.
Attended Conferences:
Here the list of conferences or talks that I have attended:
2017
2015
2014
2013
2012
2011
2010
2008
2007
 Oct 1315, 2017, Algebraic Geometry Northeastern Series, Northeastern University, MA, USA;
 Sept 1115, 2017, Matroids in Boston, Northeastern University, MA, USA;
 July 1014, 2017, Lefschetz Properties in Algebra, Geometry and Combinatorics, Institute MittagLeffler, Stockholm, Sweden;
 May 31  June 4, 2017, ET'nA 2017  Encounter in Topology 'n Algebra, Scuola Superiore di Catania, Catania, Italy;
 May 15, 2017, A View Towards Algebraic Geometry, in honor of David Eisenbud’s birthday, Martha’s Vineyard, MA;
 June 68, 2016, TOGA, Topology and Geometry of Arrangements, University of Fribourg, Switzerland;
 May 3, 2016, Colloquium, Université de Neuchâtel , Switzerland;
 January 2429, 2016, Seminar on Matroids in Algebra, Representation theory and Topology, Borel Seminar 2016, Les Diablerets, Switzerland;
2015
 October 17, 2015, Bay Area Discrete Math Day, San Francisco, California, USA;
 April 1819, 2015, AMS Western Sectional Meeting: Special Session on AlgebroGeometric Methods in Graph Theory, Las Vegas, California, USA;
 March 2527, 2015, Let's Matroid!, Neuchâtel, Switzerland;
 MarchJune 2015, Topological Methods Thematic semester, Fribourg, Switzerland;
 February 1128, 2015, Perspectives in Lie Theory, Algebraic topology, geometric and combinatorial group theory, Pisa, Italy;
 January 1930, 2015, Perspectives in Lie Theory, Lie Theory and Representation Theory, Pisa, Italy;
2014
 December 17, 2014, Oberseminar Geometrie, Fribourg, Switzerland;
 December 10, 2014, Séminaire Autour des Cycles Algébriques, Paris, France;
 December 13, 2014, Arrangements of Hyperplanes, Bremen, Germany
 October 23, 2014, The Rolf Schock Prizes 2014, Stockholm, Sweden;
 September 813, 2014, International meeting on numerical semigroups, Cortona, Italy;
 July 718, 2014, Graduate Workshop on Moduli of Curves, Simons Center, New York, USA;
2013
 September 913, 2013, COMETA 2013, Combinatorial Methods in Topology and Algebra, Cortona, Italy;
 June 24  28, 2013, FPSAC '13, the 25th International Conference on Formal Power Series and Algebraic Combinatorics, Paris, France;
 June 17  21, 2013, The 11th Nordic Combinatorial Conference (NORCOM), Stockholm, Sweden;
 June 10  14, 2013, Advances in Group Theory and Applications 2013, Lecce, Italy;
 June 3  7, 2013, Facets of Geometry, Stockholm, Sweden;
 May 27  31, 2013, Syzygies in Berlin , Berlin, Germany;
 February 2024, 2013 ETAM, Etna Triangulations & Algebra Meeting, Catania, Sicily;
2012
 December 2012 MSRIprogram in Communtative Algebra , San Francisco, California, USA;
 September 17  19, 2012, 15 years of Pragmatic, Conference on Algebraic Geometry and Commutative Algebra , Catania, Italy, Organizers: Alfio Ragusa (ragusa@dmi.unict.it), Giuseppe Zappalà (zappalag@dmi.unict.it), Francesco Russo (frusso@dmi.unict.it);
 July 18  20, 2012, Workshop: Iberian meeting on numerical semigroups , Vila Real, Portugal, Organizers: M. Delgado (Universidade de Porto), P. A. GarciaSanchez (Universidad de Granada);
 May 23  25, 2012, Giornate di Geometria Algebrica ed Argomenti Correlati XI, Pisa, Italy;
 January 1620, 2012, Learning and Intelligent Optimization Conference, LION 6, Paris, France;
2011
 November 18  19, 2011, Svenska matematikersamfundet's meeting, Swedish Mathematical Society's meeting, Linköping, Sweden;
 October 6  9, 2011, Siam Conference on Applied Algebraic Geometry , Raleigh, North Carolina, USA, Organizers: Dan Bates (Colorado State University, USA), Frank Sottile, (Texas A & M University, USA);
 June 20July 9, 2011, Summer School: Pragmatic 2011 , Catania, Organizer: Alfio Ragusa (Università di Catania);
2010
 February 35, 2010, Workshop: Iberian meeting on numerical semigroups , Granada, Organizers: M. Delgado (Universidade de Porto), P. A. GarciaSanchez (Universidad de Granada);
2008
 August 2008, Summer school: Scuola Matematica Universitaria, SMI, courses in: Algebraic Geometry (Prof Paltin Ionescu), Algebra (Prof. Gabriel Navarro);
 March 1719, 2008, Workshop: Iberian meeting on Numerical Semigroups , Porto, Organizers: M. Delgado (Universidade de Porto), P. A. GarciaSanchez (Universidad de Granada);
2007
 SECEVITA 2007, Summer school in Evolutive Computation and Artificial Life , Baia Samuele, Sampieri (Ragusa), Italy.
Outreach
Interaction with the scientific community
 During the academic year 20122013, I have coorganized the problem solving Mathematical Competition KAPPA 2013. This is a Mathematical competition for high school teacher of Mathematics or any other scientific subject.
 From September 2012, I participate to the Swedish International Development Cooperation Agency (SIDA) project for mathematics.
SIDA, the National University of Rwanda (NUR) and Stockholm University offer to supervise selected students at NUR for a Master thesis in Mathematics.
Under this project, I have supervised three students from Rwanda: Jean Harerimana (2016), \item Manishimwe Alexis (2013) and Janvier Ndahimana Rukundo (2013).  Since 2015, I am a scientific tutor for students at the Catania Institute of Advanced Study (SSC).
 Since September 2016, I belong to the diversity committee of the Department of Mathematics of Northeastern University.
 Since September 2016, I actively participate to the diversity committee of the College of Science of Northeastern University.
 In November 2016, I was appointed as a scientific expert for the best Diploma Thesis in the Catania Institute of Advanced Study (SSC).
Information about research and development
 I have organized the Summer School (May 31, 2017) at ET'nA 2017 Encounter in Topology 'n Algebra.
The talks of the school were streamed one line (and they are still available): Resonance varieties, by Graham Denham and Alex Suciu and Polytopes, Dual Graphs, and Line Arrangements, by Bruno Benedetti and Matteo Varbaro.  I organized the Networking Day (June 4, 2017) for young mathematicians at ET'nA 2017 Encounter in Topology 'n Algebra.
 I organize the Math Club at Northeastern University. The Math Club is a place where students interested in mathematics can get together and further explore mathematics outside of a classroom setting. We have weekly meetings which consist of a mix of both open discussions and talks given by professors, graduate students, and also some undergraduates.
 I suggest and support graduate student to the Data Incubator, an intensive 8 week fellowship that prepares masters students, PhDs, and postdocs in STEM and social science fields to seek industry careers as data scientists. The program is free for fellows and supported by sponsorships from hundreds of employers across multiple industries.
My students:
 Jai ASLAM (Bachelor, NU): Group actions on Knots;
 Jean HARERIMANA (Master, NUR): Some mathematical models for population growth and Crowd motion;
 Victor LISINSKI (Extraseminar student, SU): Currently PhD student at University of Oxford;
 Alexis MANISHIMWE (Master, NUR): Hausdorff's measure and the Isoperimetric problem;
 Janvier NDAHIMANA RUKUNDO (Master, NUR): Genetic Algorithm and their applications;
 Niklas HEDBERG (Bachelor, SU): Numerical solutions of an ODEsystem.
List of divulagative talks
 Dec 7, 2017, Independence day: Matroids  Math Club talk of Northeastern University , Boston, MA.
 Nov 2, 2017, Groups  Math Club talk of Northeastern University , Boston, MA.
 Oct 19, 2017, Semigroups  Math Club talk of Northeastern University , Boston, MA.
 Oct 5, 2017, Determinant  Math Club talk of Northeastern University , Boston, MA.
 Sept 21, 2017, Counting lattice points  Math Club talk of Northeastern University , Boston, MA.
 Sept 7, 2017, The coin problem  Math Club talk of Northeastern University , Boston, MA.
 April 11, 2017, La bellezza delle carte  Italian Club of Northeastern University, Boston, MA;
 March 1, 2017, Counting lines in the affine plane over finite fields  Graduate Student Seminar of NU, Boston, MA;
 March 2, 2017, The Game SET  Math Club talk of Northeastern University , Boston, MA.
List of courses I have taught:
At Northeastern University: Math Club;
 Mathematics Capstone course Math 4020 Undergraduate research;
 Introduction to mathematical reasoning (Bachelor level).
 Algebra and Geometry II (Bachelor level);
 Algebra and Geometry I (Bachelor level);
 Background in matroid theory and commutative algebra (PhD/Master Minicourse);
 Introduction to toric varieties (PhD/Master Minicourse);
 Resolution of Singularities (PhD/Master Minicourse);
 The cohomology of complete smooth toric varieties using shellability (PhD Minicourse);
 Combinatorial methods in topology (Master Course);
 Méthodes mathématiques de l'informatique (Bachelor/Master course).
 Extraseminars (Bachelor level);
 Seminarisgruppen for Matematik I (Bachelor level);
 Räkneövning for Matematik I (Bachelor level);
 Handledning for Matematik I (Bachelor level);
 Handledning for Matematik D (Bachelor level);
 Optimization (Master Course).
 Geometry (Bachelor level).
My students:
 Jai ASLAM (Bachelor, NU): Group actions on Knots;
 Jean HARERIMANA (Master, NUR): Some mathematical models for population growth and Crowd motion;
 Victor LISINSKI (Extraseminar student, SU): Currently PhD student at University of Oxford;
 Alexis MANISHIMWE (Master, NUR): Hausdorff's measure and the Isoperimetric problem;
 Janvier NDAHIMANA RUKUNDO (Master, NUR): Genetic Algorithm and their applications;
 Niklas HEDBERG (Bachelor, SU): Numerical solutions of an ODEsystem.
Relevant Teaching Experience
Extraseminars
One interesting part of my teaching experience is the Extraseminars course, an experimental Math Circle style course started in October 2010 (supported by Boris Shapiro) and continued until 2014. I organized studentoriented supplementary lectures for the most interested students of the first academic year of the science program of Stockholm University.
The experience was successful. I selected attractive mathematical topics following the taste of the students. For instance, I introduced projective geometry and let the students play with curves and surfaces. A good part of my job was mentoring these excellent students in their first steps in Topology, Algebra and basic Algebraic Geometry. This experience has let me start mentoring and supervising students since the beginning of my academic career and I have always enjoyed that.
Math Department consultant
From autumn of 2016, I am Math Department consultant of Mathematics Capstone course  Math 4020 Undergraduate research. In this course the students choose a topic, develop a proposal, write up and present a project of from 10 to 20 pages, involving some original thought. A large part of the course is practice in presenting the topic, and related mathematics. Students have used Math 4020 to get a feel for what research is like, and to help make a decision about whether to continue on to graduate school. Some have pursued further research, such as a summer Research Experiences for Undergraduates (REU).
Math Club
In September 2017, I was appointed as Faculty Advisor and main organizer of the Math Club. The Northeastern Math Club is a place where students interested in mathematics can get together and further explore mathematics outside of a classroom setting. We have weekly meetings which consist of a mix of both open discussions and talks given by professors, graduate students, and also some undergraduates.}
I was appointed as Faculty Advisor to shape this Club as Mathematical Lab, a place where undergraduate students could meet different type of math and interact with the faculty of the math department.
Teaching at Northeastern University
Autumn 2017:Faculty Advisor for the Math Club.
Spring 2017:
Advisor of Jai Aslam, thesis presentation in May 2017.
Autumn 2016:
Math Department consultant of Mathematics Capstone course Math 4020 Undergraduate research..
Lecturer of Introduction to mathematical reasoning (Bachelor level);
Classes are every Monday, Tuesday and Thursday at 13:10.
Teaching at University of Fribourg
My position does not involve teaching, but I am anyway covering some lecturer and teaching assistant duties.Spring 2016:
Teaching assistant for the course: Algebra and Geometry II;
The exercise sessions are every Tuesday at 15:15 to 17:00.
Lecturer of the minicourse: "Lessons on background in matroid theory and commutative algebra", May.
Teaching assistant for the course: Algebra and Geometry II;
The exercise sessions are every Tuesday at 15:15 to 17:00.
Autumn 2015:
Advisor of Jean Harerimana, thesis presentation in July 2016.
Teaching assistant for the course: Algebra and Geometry I;
The exercise sessions are every Tuesday at 15:15 to 17:00.
Spring 2015:
Lecturer of the minicourse: "The cohomology of complete smooth toric varieties using shellability", May.
Lecturer of the minicourse: "Resolution of Singularities", April.
Lecturer of the minicourse: "Introduction to toric varieties", March.
Teaching assistant for the course: Combinatorial methods in topology;
The exercise sessions are every Thurday at 13:15 to 14:00.
Autumn 2014:
Teaching assistant for the course: Méthodes mathématiques de l'informatique;
The exercise sessions are every Thurday at 10:15 to 12:00.
Teaching at Stockholm University (during my Ph.D).
In Sweden the PhD grant is normally for 4 years. If you decide to teach during your doctoral studies, then you get one year extension. In this case your time will be splitted as follows: 80% for the research and 20% for teaching. 20% of your time corresponds to 300 hours of teaching every academic year.
I know what you are thinking: "300 hours of teaching is a lot!!". You are right!!
It follows my teaching duties at Stockholm University:
Advisor Works:
 Bachelor Advisor of NIKLAS HEDBERG. The thesis study the solutions of an ODEsystem
 Master Advisor of JANVIER NDAHIMANA RUKUNDO. The thesis is about Genetic Algorithm and their applications.
 Master Advisor of MANISHIMWE ALEXIS. He study the Hausdorff's mesure and the Soap Bubbles conjecture.
Academic Year 20122013:
 Seminarisgruppen for Matematik I (Bachelor Course) [24 seminars, semester JanuaryMay 2013]
 Extraseminars (Bachelor Course) [semester JanuaryMay 2013, every week].
Academic Year 20112012:
 Seminarisgruppen for Matematik I (Bachelor Course) [12 seminars, semester AugustDecember 2011]
 Extraseminars (Bachelor Course) [One year of seminars: 201112 every week]
 Extraseminars (Bachelor Course) [One year of seminars: 2012 every week]
 Seminarisgruppen for Matematik I (Bachelor Course) [12 seminars, semester JanuaryMay 2012]
 Räkneövning for Matematik I (Bachelor Course) [12 seminars, semester JanuaryMay 2012]
 Handledning for Matematik I (Bachelor Course) [12 times, semester JanuaryMay 2012]
Academic Year 20102011:
 Handledning for Matematik I (Bachelor Course)[24 times, semester JanuaryMay]
 Handledning for Matematik D (Bachelor Course)[12 times, semester JanuaryMay]
 Optimization (Master Course) [3 classes, semester JanuaryMay]
 Extraseminars (Bachelor Course) [5 classes, semester JanuaryMay]
Academic Year 20092010: No teaching.
Contacts
Mailing AddressDr. Ivan Martino,
567 Lake Hall,
Northeastern University,
360 Huntington Avenue,
Boston, MA 02115, USA
Address for visitors
My office is the room number 441 at the 4th floor of the Lake Hall building.
How to contact me
Phone: +1 617 373 2450
Fax: + 1 617 373 5658 (write ATTN: Ivan Martino)
Email: i.martino@northeastern.edu
Twitter: my account is @IvanMartinoMath
My Google Scholar profile: here
Linkedin: