ד"ר מוריה סיגרון

                Include in chronological order):  year, degree, subject of study, academic institution.

                      If the degree involved a dissertation/thesis, specify the title, the subject area and the supervisors.

                Include:  dates, rank/status, department, academic institution.

                 Use a separate listing for each change of academic title, status or function.

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סיום תואר ראשון בהצטיינות. (ממוצע ציונים במתמטיקה 96)

סיום תואר שני בממוצע 93.74, ציון עבודת הגמר 95.

מלגות הצטיינות במהלך לימודי מוסמך ודוקטורט באוניברסיטה העברית:

• מלגת קליין.
• מלגת לוקסמבורג.

קרן מידן.

מצ"ב משובי הערכת הוראה משלשה מוסדות שונים המעידים על הצטיינות יתירה בהוראה. 

(האוניברסיטה העברית, המכללה להנדסה והמרכז האקדמי לב).

האוניברסיטה העברית:

בסמסטר א' 2015 דורגתי במקום 4 מתוך 94 מורי החוג למתמטיקה,
ובסמסטר א' 2007 דורגתי במקום 3 מתוך 62 מורי החוג.

מרכז אקדמי לב:

ציוני "איכות כללית" בהוראה מרוכזים בטבלה:

המכללה להנדסה:

בשנת תשע"ג לדוגמא, ציון הממוצע המשוקלל שלי היה 9.25
(בעוד הממוצע המכללתי עמד על 7.68 ).

1. Summary of Past Research and Development Activities

• Participation in weekly seminar in combinatorics and graph theory at the Hebrew university in 2001-2009.
• Participation in the summer school in Geometric Combinatorics at the University of Vienna in 2005.
• Participation in mathematics Midrasha in polytopes, graphs, and convexity at the Hebrew university in 2007.
• Participation in workshop Combinatorial Geometry at the Institute for Pure and applied Mathematics on UCLA in 2009.
• Participation in Combinatorics conference in honor of Prof. Gil Kalai at the Hebrew university in 2015.

1. Summary of Current Research and Development Activities:

• Joint research with Dr. Eli Bagno, Dr. Shulamit Reches and Dr. Estrella Eisenberg from JCT Lev academic center on the subject Gessel conjecture.

The Hertzsprung's problem is to find the number of ways to arrange  non-attacking kings on an board with one king in each row and column. In. In  the language of the symmetric group, we are talking about the permutations   such that for each

We deal with the poset of such permutations which is a sub-poset of the poset of all permutations with respect to containment order. 

We try to find the structure of this poset and to gain some information on its Mobious function as well as a generating function for the number of separators of a permutation. 

• Joint research with Dr. Hagit Last from Azrieli – College of Engineering Jerusalem on the subject k-bisectors of a planar set.
  
  Let be a finite set of points in the plane, not all on the same line.
  A line , spanned by  is a k-bisector of  if every open half-plane determined by  contains at least  points of .
  We try to prove that if  then has a k-bisector.

1. Future Directions for Research and Development.

• Continue with my current researches as described above.
• Generalize Tverberg's number T(d,r) (that was discovered by Tverberg in 1966) to the case when we demand only that every k of the convex-hulls will intersect (k<r).
  
  

Publications:

1. Micha A. Perles and Moriah Sigron, Some Variations On Tverberg’s Theorem, Israel Journal of Mathematics October 2016, Volume 216, Issue 2, pp 957–972.

2. Micha A. Perles and Moriah Sigron, Tverberg partitions of Points on the Moment curve, Discrete & Computational Geometry January 2017, Volume 57, Issue 1, pp 56–70.

3. Ron M. Adin, Eli Bagno, Estrella Eisenberg, Shulamit Reches, Moriah Sigron, Towards a Combinatorial proof of Gessel's conjecture on two-sided Gamma positivity: A reduction to simple permutations. (Submitted to The Electronic Journal of Combinatorics)

4. Micha A. Perles and Moriah Sigron, Strong General Position, In preparation.