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\mbox{\Large\textbf{Curriculum Vitae for Danny Calegari}}
\address{University of Chicago \\ 5734 S. University Avenue \\ Chicago, Ill 60637}
\email{dannyc@math.uchicago.edu}
\bigskip
\bigskip
{\bf Personal Details}
\begin{itemize}
\item{Date of Birth: May 24, 1972}
\item{Citizenship: US/Australian joint}
\end{itemize}
\bigskip
{\bf Education}
\begin{itemize}
\item{May 2000: PhD from UC Berkeley (advisor: Andrew Casson)}
\item{December 1994: BA degree with honors at the University of Melbourne}
\end{itemize}
\bigskip
{\bf Research Interests}
\begin{itemize}
\item{Geometry, Dynamics and Topology in low dimensions}
\item{Geometric group theory}
\end{itemize}
\bigskip
{\bf Academic Positions}
\begin{itemize}
\item{2012--: Professor of Mathematics, University of Chicago}
\item{2011--2012: University Professor (Chair) of Pure Mathematics, DPMMS University of Cambridge}
\item{2007--2012: Richard Merkin Distinguished Professor of Mathematics at
California Institute of Technology}
\item{2006--2007: Professor at California Institute of Technology}
\item{2003--2006: Associate Professor at California Institute of Technology}
\item{2002: Assistant Professor at California Institute of Technology}
\item{2000--2002: Benjamin Peirce Assistant Professor at Harvard}
\end{itemize}
\bigskip
{\bf Visiting Positions}
\begin{itemize}
\item{2012 October-December: Visiting Professor at University of Chicago}
\item{2012 July-October: Distinguished Courant Visiting Professor at Georg-August-Universitat Gottingen}
\item{2010 December: Visiting Professor at Institut Fourier Grenoble}
\item{2007 April-September: Visiting Professor at Tokyo Institute of Technology}
\item{2000 May-June: Visiting Researcher at UC Davis}
\item{2000: Consultant for Microsoft Research}
\item{1996--1997: Student member at the Mathematical Sciences
Research Institute}
\item{1995 January-February: Research assistant at the University of Melbourne}
\item{1994 January-February: Research assistant at the University of Melbourne}
\item{1990 January: Research assistant at Comalco Research Laboratories}
\end{itemize}
\bigskip
{\bf Fellowships/Prizes/Grants/Named lectures}
\begin{itemize}
\item{2013: Blumenthal Lecturer, University of Tel Aviv}
\item{2012: AMS Fellow}
\item{2011--2016: Royal Society Wolfson Research Merit Award}
\item{2012: Namboodiri Lecturer, University of Chicago}
\item{2010--2013: NSF grant DMS 1005246}
\item{2009--2010: Clay Lecturer}
\item{2009: Clay Research Award, and Scholarship}
\item{2007--2010: NSF grant DMS 0707130}
\item{2004--2007: NSF grant DMS 0405491 (joint with N. Dunfield)}
\item{2003--2005: Sloan Research Fellow}
\item{2002: Awarded NSF Postdoctoral fellowship in mathematics (declined)}
\item{2000--2002: NSF--VIGRE grant recipient}
\item{2000: Clay Mathematical Institute Liftoff summer fellowship recipient}
\item{2000: Awarded NSF Postdoctoral fellowship in mathematics (declined)}
\item{1999--2000: Alfred P. Sloan dissertation fellowship in mathematics}
\item{1996--1999: NSF graduate fellowship in mathematics}
\item{1995--1996: Mary Stella Langford traveling fellowship (awarded by
the University of Melbourne)}
\item{1995: A.O.Capell Scholarship (awarded by the University of Melbourne)
for the best undergraduate degree in 1994}
\item{1994: Wyselaskie Scholarship and Nansen and Wilson prizes, awarded
by the Mathematics department at the University of Melbourne for
best undergraduate thesis}
\item{1991: Francis Frewin academic Scholarship}
\end{itemize}
\bigskip
{\bf Teaching Experience}
\begin{itemize}
\item{2012--: Taught graduate classes at the University of Chicago}
\item{2003--2012: Taught more than twenty classes at Caltech, both graduate level and
undergraduate}
\item{2001--2002: Designed and taught two graduate topics classes on recent developments
on the theory of foliations, and on geometrization, at Harvard}
\item{2001: {\it (with Nathan Dunfield)} organized a seminar on Thurston's geometrization
theorem for Haken manifolds, at Harvard}
\item{2000--2001: Designed and taught two upper--division classes on classical geometry
and topology at Harvard}
\item{before 2000: grader/TA for various classes at Berkeley}
\end{itemize}
\bigskip
{\bf PhD students supervised}
\begin{itemize}
\item{2006: Thomas Mack, {\it Quasiconvex subgroups and nets in hyperbolic groups}}
\item{2007: Roberto Pelayo, {\it Diameter bounds on the complex of minimal genus Seifert surfaces for hyperbolic knots}}
\item{2008: Rupert Venzke, {\it Braid forcing, hyperbolic geometry, and pseudo-Anosov sequences of low entropy}}
\item{2009: Dongping Zhuang, {\it A geometric study of commutator subgroups}}
\item{2011: Joel Louwsma, {\it Extremality of the Rotation Quasimorphism on the Modular Group}}
\item{2012: Alden Walker, {\it Surface maps into free groups}}
\end{itemize}
\vfill
\pagebreak
{\bf Invited Conference Talks and Department Colloquia}
\begin{itemize}
\item{AMS international conference at Denton Texas, May 19--22 1999}
\item{AMS international conference at Melbourne Australia, July 12--16 1999}
\item{AMS conference at Austin Texas, October 8--10 1999}
\item{Wasatch Topology conference at Park City, December 16--18 1999}
\item{Texas Geometry and Topology Conference, February 25--27 2000}
\item{AMS conference at UC Santa Barbara, March 11--12 2000}
\item{Plenary talk at Foliations: Geometry and Dynamics. Conference at
Stefan Banach Center in Warsaw, May 29--June 9 2000}
\item{Lecture series at Tokyo Institute of Technology, September 1--10 2000}
\item{pre--AMS--meeting mini--conference, Barnard College, November 3 2000}
\item{Caltech Department Colloquium, January 16 2001}
\item{Cornell Topology Festival, May 4--6 2001}
\item{Georgia International Topology Conference, May 20--June 2 2001}
\item{$3$--manifold Topology Conference at CRM Montreal, June 25--29 2001}
\item{AMS--SMF joint meeting, Ecole Normale Lyon, July 17--20 2001}
\item{Minicourse at Foliations and Geometry 2001, Pontificia Univ. Catolica, Rio de Janeiro,
August 2--11 2001}
\item{Topology meeting at Oberwolfach, September 9--15 2001}
\item{Princeton mathematics department lecture series, April 15--19 2002}
\item{Plenary talk at Geometric Topology conference, Shaanxi Normal University China August 12--16 2002}
\item{BATS, October 15 2002}
\item{Wasatch topology conference at Salt Lake City, October 26--27 2002}
\item{UBC Department Colloquium, November 22 2002}
\item{Lecture series at Seoul National University, February 18--23 2003}
\item{Arkansas Spring lecture series, April 10--12 2003}
\item{Topology of Manifolds of dimensions three and four
(60th Birthday conference for Andrew Casson) U. Texas Austin May 19--21 2003}
\item{60th Birthday conference for Jim Cannon, Park City Utah June 2003}
\item{Conference on topology, plenary lecture series ANU Canberra July 14--25 2003}
\item{UIC Department Colloquium, October 17 2003}
\item{Trends in 3-manifolds conference at CIRGET Montreal, May 2 2004}
\item{KOOK international conference, Awajijima Japan, July 8 2004}
\item{Plenary talk at 48th annual meeting of the Australian Math. Soc., RMIT
Melbourne September 28 2004}
\item{University of Melbourne Department Colloquium, October 6 2004}
\item{University of Chicago Department Colloquium, October 29 2004}
\item{Ahlfors-Bers Colloquium plenary speaker, May 19--22 2005}
\item{Rice University Department Colloquium, September 8 2005}
\item{UCLA Department Colloquium, January 12 2006}
\item{Manifolds in Melbourne Conference, January 17--20 2006}
\item{Senior researcher for thematic program on Dynamics and Geometry at
the Fields Institute, Toronto, Spring 2006}
\item{MSU special RTG lecture, April 4 2006}
\item{Georgia Topology Conference, May 17--21 2006}
\item{Geometric group theory meeting at Oberwolfach, July 23--29 2006}
\item{UC Riverside Department Colloquium, November 15 2006}
\item{Lecture series at Dynamics Conference at Independent University of Moscow, February 19--23 2007}
\item{Penn State Department Colloquium, March 1 2007}
\item{Cornell Topology Conference, May 21--24 2007}
\item{Paul Schweitzer's 70th birthday conference, PUC Rio de Janeiro, August 6--10 2007}
\item{Ahlfors Centennial Celebration, University of Helsinki, August 20--24 2007}
\item{Osaka Symposium on Intelligence of Low Dimensional Topology, August 29-September 1 2007}
\item{Akita University, Topology and Computers Conference, September 5--7 2007}
\item{Invited address at Fall annual meeting of the Japanese Mathematical Society, September 21--24 2007}
\item{Encounter with Mathematics, Tokyo, September 28-29 2007}
\item{Topics in Teichmuller Theory and Kleinian Groups, MSRI, November 12--16 2007}
\item{USC Department Colloquium, January 23 2008}
\item{Cornell Department Colloquium, February 7 2008}
\item{Two talks at G3 conference, March 20--23 2008}
\item{Wasatch topology conference, August 9--10 2008}
\item{The 4th William Rowan Hamilton Geometry and Topology Workshop, August 28--30 2008}
\item{Geometric group theory meeting at Oberwolfach, September 7--13 2008}
\item{Lecture series at Paris \'Ecole Polytechnique, March 30--31 2009}
\item{Georgia International Topology Conference, May 18--29 2009}
\item{2009/10 Clay Lecturer Melbourne-Sydney-Canberra-Adelaide, July-October 2009}
\item{SUNY Stony Brook Department Colloquium, September 1 2009}
\item{SUNY Stony Brook workshop, September 2 2009}
\item{Nevanlinna Colloquium Kyoto University, September 7--11 2009}
\item{SUNY Buffalo Department Colloquium, October 16 2009}
\item{Rice Texas Geometry and Topology Conference, November 6--8 2009}
\item{UC Riverside AMS Sectional meeting, November 7--8 2009}
\item{Minicourse at workshop in Geometric Group Theory, University of Queensland, December 14--18 2009}
\item{Northwestern Department Colloquium, January 13 2010}
\item{Plenary lecture at the 44th Spring Topology and Dynamics Conference, March 18--20 2010}
\item{Talk at William Jaco's 70th birthday conference, June 4--6 2010}
\item{Geometric group theory meeting at Oberwolfach, July 11--17 2010}
\item{Arkansas Department Colloquium, October 21 2010}
\item{Trends in Dynamics, Northwestern, April 27--May 1 2011}
\item{Plenary lecture at AMS western sectional meeting UNLV, April 30--May 1 2011}
\item{Minicourse at Sao Paulo Topological Methods in Dynamical Systems, June 13--16 2011}
\item{Columbia Walterfest plenary talk, June 6--10 2011}
\item{Minicourse at Hyam Rubinstein's 60th birthday conference and workshop, July 11--23 2011}
\item{Minicourse at KAIST Geometric Group Theory Fair, August 8--12 2011}
\item{Warwick Department Colloquium, November 11 2011}
\item{Durham Department Colloquium, December 5 2011}
\item{Immersed surfaces in 3-manifolds, Paris, March 27 2012}
\item{Namboodiri lectures, University of Chicago, April 2012}
\item{Minicourse at RIMS Geometry and Analysis on Discrete Groups, June 4--8 2012}
\item{Sadayoshi Kojima's 60th birthday conference, September 10--14 2012}
\item{Technion special lecture series, January 14--18 2013}
\item{Tel Aviv Blumenthal Lectures, January 21--23 2013}
\item{Surface subgroups and cube complexes, MSRI, March 18--22 2013}
\end{itemize}
\vfill
\pagebreak
{\bf \Large Publications}
\bigskip
{\bf \large Books}
\begin{enumerate}
\item{Foliations and the Geometry of $3$-manifolds
research monograph 360pp; Oxford University Press, May 2007}
\item{scl
research monograph 220pp; MSJ Memoirs {\bf 20}, June 2009}
\end{enumerate}
\bigskip
{\bf \large Papers}
\bigskip
{\bf Foliations/Laminations}
\begin{enumerate}
\item{$\R$--covered foliations of hyperbolic $3$--manifolds.
{\it Geom. Topol.} {\bf 3} (1999), 137--153}
\item{Foliations transverse to triangulations of $3$--manifolds.
{\it Comm. Anal. Geom.} {\bf 8} (2000), no. 1, 133--158}
\item{Geometry and topology of $\R$--covered foliations.
{\it Electr. Res. Announc. Amer. Math. Soc.} {\bf 6} (2000), 31--39}
\item{The Gromov norm and foliations.
{\it Geom. Func. Anal.} {\bf 10} (2000), no. 6, 1423--1447}
\item{The geometry of $\R$--covered foliations.
{\it Geom. Topol.} {\bf 4} (2000), 457--515}
\item{Leafwise smoothing laminations.
{\it Algebr. Geom. Topol.} {\bf 1} (2001), 579--585}
\item{Almost continuous extension for taut foliations.
{\it Math. Res. Lett.} {\bf 8} (2001), no. 5--6, 637--640}
\item{Distortion of leaves in product foliations.
{\it Top. Appl.} {\bf 124} (2002), no. 2, 205--209}
\item{Every orientable $3$--manifold is a $\text{B}\Gamma$.
{\it Algebr. Geom. Topol.} {\bf 2} (2002), 433--447}
\item{Problems in foliations and laminations of $3$--manifolds.
{\it Proc. Symp. Pure Math.} {\bf 71} (2003), 297--335 }
\item{Foliations with one--sided branching.
{\it Geom. Dedicata} {\bf 96} (2003), 1--53}
\item{Laminations and groups of homeomorphisms of $S^1$ {\it with N. Dunfield}
{\it Invent. Math.} {\bf 152} (2003), no. 1, 149--204}
\item{Promoting essential laminations.
{\it Invent. Math.} {\bf 166} (2006), no. 3, 583--643}
\end{enumerate}
\bigskip
{\bf Dynamics}
\begin{enumerate}
\item{Circular groups, Planar groups, and the Euler class.
{\it Geom. Topol. Mon} {\bf 7}, (2004), 431--491}
\item{Dynamical forcing of circular groups.
{\it Trans. Amer. Math. Soc.} {\bf 358} (2006), no. 8, 3473--3491}
\item{Distortion in transformation groups {\it with M. Freedman, appendix by Y. de Cornulier}
{\it Geom. Topol.} {\bf 10} (2006), 267--293}
\item{Universal circles for quasigeodesic flows,
{\it Geom. Topol.} {\bf 10} (2006), 2271--2298}
\item{Denominator bounds in Thompson-like groups and flows,
{\it Groups, Geom., Dyn.} {\bf 1} (2007), no. 2, 101--109}
\item{Nonsmoothable, locally indicable group actions on the interval,
{\it Algebr. Geom. Topol.} {\bf 8} (2008), no. 1, 609--613}
\item{The Euler class of planar groups,
{\it Contemp. Math.} {\bf 498} (2009), 141--149}
\item{Ziggurats and rotation numbers {\it with A. Walker}
{\it J. Mod. Dynamics} {\bf 5} (2011), no. 4}
\item{The ergodic theory of hyperbolic groups,
{\it Contemp. Math.} to appear}
\end{enumerate}
\bigskip
{\bf Kleinian groups/$3$-manifolds}
\begin{enumerate}
\item{Strong geometric isolation in $3$--orbifolds.
{\it Bull. Austral. Math. Soc.} {\bf 53} (1996), no. 2, 271--280}
\item{Napoleon in isolation.
{\it Proc. Amer. Math. Soc.} {\bf 129} (2001), no. 10, 3109--3119}
\item{Commensurability of $1$--cusped hyperbolic $3$--manifolds {\it with N. Dunfield}.
{\it Trans. Amer. Math. Soc.} {\bf 354} (2002), no. 7, 2955--2969}
\item{Shrinkwrapping and the taming of hyperbolic $3$-manifolds {\it with D. Gabai}
{\it Jour. Amer. Math. Soc.} {\bf 19}, (2006) no. 2, 385--446}
\item{Real places and torus bundles,
{\it Geom. Dedicata} {\bf 118} (2006), no. 1, 209--227}
\item{An ascending HNN extension of a free group in $\text{SL}(2,\mathbb{C})$ {\it with N. Dunfield}
{\it Proc. Amer. Math. Soc.} {\bf 134} (2006), no. 11, 3131--3136}
\item{$3$-manifold positivity and the topological Cauchy-Schwarz inequality,
{\it Proc. Conf. Osaka City Univ} (2007), 65--70}
\item{Positivity of the universal pairing in 3 dimensions {\it with M. Freedman and K. Walker}
{\it Jour. Amer. Math. Soc.} {\bf 23} (2010), no. 1, 107--188}
\item{Chimneys, leopard spots, and the identities of Basmajian and Bridgeman
{\it Algebr. Geom. Topol.} {\bf 10} (2010), no. 3, 1857--1863}
\item{Bridgeman's orthospectrum identity
{\it Topol. Proc.} {\bf 38} (2011), 173--179}
\item{On fibered commensurability {\it with H. Sun and S. Wang}
{\it Pacific J. Math.} {\bf 250} (2011), no. 2, 287--317}
\item{Knots with small rational genus {\it with C. Gordon}
{\it Comment. Math. Helv.} {\bf 88} (2013), no. 1, 85--130}
\end{enumerate}
\bigskip
{\bf Stable commutator length/bounded cohomology}
\begin{enumerate}
\item{Stable commutator length in subgroups of $\text{PL}^+(I)$,
{\it Pacific J. Math.} {\bf 232} (2007), no. 3, 257--262}
\item{Length and stable length,
{\it Geom. Func. Anal.} {\bf 18} (2008), no. 1, 50--76}
\item{Word length in surface groups with characteristic generating sets,
{\it Proc. Amer. Math. Soc.} {\bf 136} (2008), no. 7, 2631--2637}
\item{Surface subgroups from homology,
{\it Geom. Topol.} {\bf 12} (2008), 1995--2007}
\item{What is $\dots$ stable commutator length?
{\it Notices Amer. Math. Soc.} {\bf 55} (2008), no. 9, 1100--1101}
\item{Large scale geometry of commutator subgroups {\it with D. Zhuang}
{\it Algebr. Geom. Topol.} {\bf 8} (2008), no. 3, 2131--2146}
\item{Faces of the scl norm ball
{\it Geom. Topol.} {\bf 13} (2009), 1313--1336}
\item{Stable commutator length is rational in free groups,
{\it Jour. Amer. Math. Soc.} {\bf 22} (2009), no. 4, 941--961}
\item{Stable commutator length in word-hyperbolic groups {\it with K. Fujiwara}
{\it Groups, Geom., Dyn.} {\bf 4} (2010), no. 1, 59--90}
\item{Quasimorphisms and laws
{\it Algebr. Geom. Topol.} {\bf 10} (2010), no. 1, 215--217}
\item{Combable functions, quasimorphisms, and the central limit theorem {\it with K. Fujiwara}
{\it Ergodic Theory Dyn. Systems} {\bf 30} (2010), no. 5, 1343--1369}
\item{Scl, sails and surgery,
{\it Jour. Topology} {\bf 4} (2011), no. 2, 305--326}
\item{Immersed surfaces in the modular orbifold {\it with J. Louwsma}
{\it Proc. Amer. Math. Soc.} {\bf 139} (2011), 2295--2308}
\item{Stable W-length {\it with D. Zhuang}
{\it Contemp. Math.} {\bf 560} (2012), 145--170}
\item{Isometric endomorphisms of free groups {\it with A. Walker}
{\it New York J. Math.} {\bf 17} (2011), 713--743}
\item{Integer hulls of linear polyhedra and scl in families {\it with A. Walker}
{\it Trans. Amer. Math. Soc.} to appear}
\item{Certifying incompressibility of non-injective surfaces with scl
{\it Pacific J. Math.} to appear}
\item{Statistics and compression of scl {\it with J. Maher}
{\it Ergodic Theory Dyn. Systems} to appear}
\end{enumerate}
\bigskip
{\bf Miscellaneous}
\begin{enumerate}
\item{A degree one Borsuk--Ulam theorem.
{\it Bull. Austral. Math. Soc.} {\bf 61} (2000), no.2, 267--268}
\end{enumerate}
\bigskip
{\bf Papers in preparation or submission}
\begin{enumerate}
\item{Hyperbolic $3$-manifolds, tameness and Ahlfors' measure conjecture
lecture notes from minicourse at the IUM February 2007}
\item{Random rigidity in the free group {\it with A. Walker}
submitted preprint}
\item{Surface subgroups from linear programming {\it with A. Walker}
submitted preprint}
\end{enumerate}
\vfill
\pagebreak
{\bf \Large Service}
\bigskip
{\bf Editorial boards}
\begin{itemize}
\item{Compositio Mathematica 2011-}
\item{Geometry and Topology 2009-}
\item{Journal of Topology and Analysis 2008-}
\item{Notices of the AMS (Associate Editor) 2013-}
\end{itemize}
\bigskip
{\bf Reviewing/refereeing activity}
\begin{itemize}
\item{Reviewer for Math. Reviews, NSF, NSERC, Georgian--U.S. BGP}
\item{Referee for \begin{itemize}
\item{Acta Mathematica}
\item{Advances in Geometry}
\item{Algebraic and Geometric Topology}
\item{American Journal of Mathematics}
\item{Annals of Mathematics}
\item{Commentarii Mathematici Helvetici}
\item{Communications in Analysis and Geometry}
\item{ENS Publications Math.}
\item{Experimental Mathematics}
\item{Geometry and Topology}
\item{Inventiones Mathematicae}
\item{Journal of the AMS}
\item{Journal of the Australian MS}
\item{Journal of the LMS}
\item{Journal of Differential Geometry}
\item{Knot Theory and its Ramifications}
\item{Mathematische Annalen}
\item{Mathematische Zeitschrift}
\item{Pacific Journal of Mathematics}
\item{Topology}
\item{Transactions of the AMS}
\item{Transformation groups}
\item{University of Chicago Monograph series}
\end{itemize}}
\item{Good knowledge of C, C++, \LaTeX, HTML, and fundamentals of
UNIX (including Mac OSX) and Linux}
\end{itemize}
\bigskip
{\bf Conferences Organized}
\begin{itemize}
\item{2003 Southern California Topology Conference, Caltech}
\item{2004 (with N. Dunfield) Southern California Topology Conference, Caltech}
\item{2005 Complex of curves fest, Caltech}
\item{2007 Southern California Topology Conference, Caltech}
\item{2009 Southern California Topology Conference, Caltech}
\item{2011 (with several people) Topological Methods in Dynamical Systems, Sao Paulo}
\item{2011 (with several people) Hyam Rubinstein's 60th birthday conference and workshop, Melbourne}
\item{2013 (with several people) Topology, geometry and group theory, informed by experiment, Brown}
\item{2013 (with several people) Surface subgroups and cube complexes, MSRI}
\end{itemize}
\bigskip
{\bf Mathematical Weblog}
\begin{itemize}
\item{Blog {\em Geometry and the Imagination} (url: {\tt http://lamington.wordpress.com})}
\end{itemize}
\vfill
\pagebreak
{\bf References:}
\bigskip
\begin{tabular}{l@{\qquad}l}
\begin{tabular}{l}
Andrew J. Casson \\
Department of Mathematics \\
Yale University \\
10 Hillhouse Ave \\
New Haven, CT 06520 \\
{\sf andrew.casson@math.yale.edu} \\
\\
Curtis T. McMullen \\
Department of Mathematics \\
Harvard University \\
1 Oxford Street \\
Cambridge, MA 02138 \\
{\sf ctm@math.harvard.edu} \\
\\
Michael H. Freedman \\
Station Q \\
CNSI Bldg. Office 2243 \\
University of California \\
Santa Barbara, CA 93106-6105 \\
{\sf michaelf@microsoft.com} \\
\end{tabular}
&
\begin{tabular}{l}
David Gabai \\
Department of Mathematics \\
Princeton University \\
Fine Hall, Washington Road \\
Princeton, NJ 08544 \\
{\sf gabai@princeton.edu} \\
\\
Leonid Polterovich \\
Department of Mathematics \\
School of Mathematical Sciences \\
Tel Aviv University \\
69978 Tel Aviv, Israel \\
{\sf polterov@post.tau.ac.il} \\
\\
Benson Farb \\
Department of Mathematics \\
University of Chicago \\
5734 University Avenue \\
Chicago, IL 60637-1514 \\
{\sf farb@math.uchicago.edu} \\
\end{tabular}
\end{tabular}
\bigskip
\end{document}