January 11 to January 15, 2016 at the American Institute of Mathematics, San Jose, California
organized by
Itay Neeman and Dima Sinapova
This workshop, sponsored by AIM and the NSF, is devoted to new methods of forcing, in infinitary combinatorics, and in connection with axioms about the real line. There were exciting recent developments in each of the two areas, involving Prikry type forcing and principles related to the tree property for the former, and finite support iterations with side conditions for the latter. The goal of the workshop is to foster interaction between people working in these two areas, and initiate collaborations on the many problems that remain open.
The topics of the workshop are:
 Infinitary combinatorics.
 Forcing with side conditions in connections to axioms about the real line.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
Participants:
1 
David Aspero 

University of East Anglia 

d.aspero(())uea.ac.uk 


2 
Omer BenNeria 

University of California, Los Angeles 

obneria(())math.ucla.edu 


3 
Sean Cox 

Virginia Commonwealth University 

scox9(())vcu.edu 


4 
Monroe Eskew 

Virginia Commonwealth University 

mbeskew(())vcu.edu 


5 
Vera Fischer 

University of Vienna 

vera.fischer(())univie.ac.at 


6 
Laura Fontanella 

Hebrew University of Jerusalem 

laura.fontanella(())gmail.com 


7 
Matthew Foreman 



mforeman(())math.uci.edu 


8 
Shoshana Friedman 

CUNYKingsborough Community College 

Shoshana.Friedman(())nylogic.org 


9 
Moti Gitik 



gitik(())post.tau.ac.il 


10 
Victoria Gitman 

CUNY Graduate Center 

vgitman(())nylogic.org 


11 
Sherwood Hachtman 

University of Illinois at Chicago 

hachtma1(())uic.edu 


12 
Yair Hayut 

Hebrew University in Jerusalem 

yairchayut(())gmail.com 


13 
John Krueger 

University of North Texas 

jkrueger(())unt.edu 



14 
Maxwell Levine 

UIC 

mlevin20(())uic.edu 


15 
Menachem Magidor 

Hebrew University of Jerusalem 

mensara(())savion.huji.ac.il 


16 
Heike Mildenberger 

AlbertLudwigsUniversitaet Freiburg 

heike.mildenberger(())math.unifreiburg.de 


17 
William Mitchell 

University of Florida 

mitchell2090(())bellsouth.net 


18 
Justin Moore 

Cornell University 

justin(())math.cornell.edu 


19 
Itay Neeman 

UCLA 

ineeman(())math.ucla.edu 


20 
Dilip Raghavan 

National University of Singapore 

dilip.raghavan(())protonmail.com 


21 
Dima Sinapova 

University of Illinois at Chicago 

sinapova(())math.uic.edu 


22 
Stevo Todorcevic 

University of Toronto and C.N.R.S., Paris 

stevo(())math.utoronto.ca 


23 
Spencer Unger 

UCLA 

sunger(())math.ucla.edu 


24 
Boban Velickovic 

Universite Paris Diderot 

boban(())math.univparisdiderot.fr 


25 
Matteo Viale 

university of torino 

matteo.viale(())unito.it 


26 
Martin Zeman 

Department of Mathematics, University of California Irvine 

mzeman(())math.uci.edu 
