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- 니스 무니
- KIAS Assistant Professor
- Algebraic Geometry
- Office 1417
- Tel 2568 / Fax 3786
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- 박진형
- KIAS Assistant Professor
- Algebraic Geometry
- Office 1415
- Tel 2572 / Fax
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- 강문진
- Research Fellow
- Office : 1537
- Tel : 2569 | Fax :
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- 김광섭
- Research Fellow
- Number Theory
- Office : 1408
- Tel : 3845 | Fax : 3786
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- 김민훈
- Research Fellow
- low-dimensional topology
- Office : 1434
- Tel : 3727 | Fax : 3786
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- 김승기
- Research Fellow
- Number theory, lattice problems
- Office : 1538
- Tel : 3809 | Fax : 3786
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- 김승혁
- Research Fellow
- Elliptic and parabolic partial differential equation, Geometric analysis
- Office : 1537
- Tel : 2543 | Fax :
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- 김은미
- Research Fellow
- Number Theory
- Office : 7316
- Tel : 3749 | Fax : 3820
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- 김찬호
- Research Fellow
- number theory
- Office : 1536
- Tel : 3722 | Fax : 3786
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On the freeness of anticyclotomic Selmer groups of modular forms Title : On the freeness of anticyclotomic Selmer groups of modular forms Author : Chan-Ho Kim, Robert Pollack, Tom Weston Journal : International Journal of Number Theory, accepted
On the freeness of anticyclotomic Selmer groups of modular forms NUMBER M16004 AUTHOR Chan-Ho Kim, Robert Pollack, Tom Weston TITLE On the freeness of anticyclotomic Selmer groups of modular forms ARCHIVE FILE freeness_IJNT_submit.pdf JOURNAL International Journal of Number Theory, accepted ABSTRACT We establish the freeness of certain anticyclotomic Selmer groups of modular forms.
The freeness of these Selmer groups plays a key role in the Euler system arguments
introduced in [BD05]. In particular, our result fills some implicit gaps in [PW11] and
[CH15] which in turn allows the results of these papers to hold for modular forms
whose residual representations are not minimally ramified. Removing these minimal
ramification conditions is essential for applications of congruences of modular forms
to anticyclotomic Iwasawa theory as in [PW11, §7] and [Kim].
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Anticyclotomic Iwasawa invariants and congruences of modular forms Title : Anticyclotomic Iwasawa invariants and congruences of modular forms Author : Chan-Ho Kim Journal : Asian Journal of Mathematics, to appear
Anticyclotomic Iwasawa invariants and congruences of modular forms NUMBER M15013 AUTHOR Chan-Ho Kim TITLE Anticyclotomic Iwasawa invariants and congruences of modular forms ARCHIVE FILE summary_revised_final.pdf JOURNAL Asian Journal of Mathematics, to appear ABSTRACT The main purpose of this article is to examine how congruences between Hecke eigensystems of modular
forms affect the Iwasawa invariants of their anticyclotomic p-adic L-functions. We apply Greenberg-
Vatsal and Emerton-Pollack-Westons ideas on the variation of Iwasawa invariants under congruences
to the anticyclotomic setting. As an application, we establish infinitely many new examples of the
anticyclotomic main conjecture for modular forms, which cannot be treated by Skinner-Urbans work.
An explicit example is given.
- 김화길
- Research Fellow
- Partial Differential Equations
- Office : 7401
- Tel : 2536 | Fax : 3820
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- 니에, 신
- Research Fellow
- Hyperbolic geometry
- Office : 7317
- Tel : 3835 | Fax : 3820
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- 미우라, 마코토
- Research Fellow
- Mirror Symmetry
- Office : 1539
- Tel : 2634 | Fax :
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- 바미디, 스리달
- Research Fellow
- Algebraic Geometry
- Office : 1228
- Tel : 2542 | Fax :
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- 박경배
- Research Fellow
- Low-dimensional topology
- Office : 1228
- Tel : 3726 | Fax : 3786
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- 박철
- Research Fellow
- Number Theory
- Office : 1310
- Tel : 3860 | Fax : 3786
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- 박한철
- Research Fellow
- Toric Topology
- Office : 1438
- Tel : 3851 | Fax : 3786
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- 부, 덕 비엣
- Research Fellow
- Office : 1228
- Tel : | Fax :
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- 서애령
- Research Fellow
- Complex Geometry
- Office : 1539
- Tel : 2636 | Fax : 3786
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- 쉬, 삔삔
- Research Fellow
- Geometric Topology, Hyperbolic Geometry
- Office : 1538
- Tel : 3828 | Fax : 3786
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- 신지용
- Research Fellow
- Probability Theory
- Office : 1310
- Tel : 3896 | Fax : 3786
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- 신형석
- Research Fellow
- Symplectic Geometry
- Office : 1228
- Tel : 2542 | Fax : 3786
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- 안태용
- Research Fellow
- Complex Analysis and Complex Dynamics
- Office : 1228
- Tel : 3831 | Fax : 3786
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- 양민석
- Research Fellow
- Analysis of PDEs
- Office : 1421
- Tel : 3762 | Fax : 3870
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- 이은주
- Research Fellow
- Differential Geometry
- Office : 7316
- Tel : 3862 | Fax :
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- 장동훈
- Research Fellow
- Group actions on manifolds, Symplectic geometry
- Office : 1436
- Tel : 3746 | Fax : 3786
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Circle actions on four-dimensional oriented manifolds with discrete fixed point sets Title : Circle actions on four-dimensional oriented manifolds with discrete fixed point sets Author : Donghoon Jang Journal :
Circle actions on four-dimensional oriented manifolds with discrete fixed point sets NUMBER M17004 AUTHOR Donghoon Jang TITLE Circle actions on four-dimensional oriented manifolds with discrete fixed point sets ARCHIVE arXiv:1703.05464 FILE JOURNAL ABSTRACT In this paper, we classify the weights at the fixed points of a circle action on
a 4-dimensional compact oriented manifold with a discrete fixed point set.
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Circle actions on almost complex manifolds with 4 fixed points Title : Circle actions on almost complex manifolds with 4 fixed points Author : Donghoon Jang Journal :
Circle actions on almost complex manifolds with 4 fixed points NUMBER M17003 AUTHOR Donghoon Jang TITLE Circle actions on almost complex manifolds with 4 fixed points ARCHIVE arXiv:1701.08238 FILE JOURNAL ABSTRACT
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Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets Title : Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets Author : Donghoon Jang, Susan Tolman Journal : Transformation Groups
Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets NUMBER M17002 AUTHOR Donghoon Jang, Susan Tolman TITLE Hamiltonian circle actions on eight-dimensional manifolds with minimal fixed sets ARCHIVE arXiv:1408.6580 FILE JOURNAL Transformation Groups ABSTRACT
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Circle actions on almost complex manifolds with isolated fixed points Title : Circle actions on almost complex manifolds with isolated fixed points Author : Donghoon Jang Journal : Journal of Geometry and Physics
Circle actions on almost complex manifolds with isolated fixed points NUMBER M15010 AUTHOR Donghoon Jang TITLE Circle actions on almost complex manifolds with isolated fixed points ARCHIVE arXiv:1510.00952 FILE JOURNAL Journal of Geometry and Physics ABSTRACT The author proved that if the circle acts symplectically on a compact,
connected symplectic manifold M with three fixed points, then M is
equivariantly symplectomorphic to some standard action on
$mathbb{CP}^2$. In this paper, we extend the result to a circle action
on an almost complex manifold; if the circle acts on a compact, connected
almost complex manifold M with exactly three fixed points, then $dim
M=4$. Moreover, we deal with the cases of one fixed point and two fixed
points.
- 정승조
- Research Fellow
- Algebraic Geometry
- Office : 1434
- Tel : 3775 | Fax : 3786
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- 조유미
- Research Fellow
- Partial differential equations
- Office : 1419
- Tel : 3844 | Fax : 3786
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- 주다스
- Research Fellow
- Low-dimensional topology
- Office : 1426
- Tel : 3858 | Fax : 3820
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Branched coverings of CP^2 and other basic 4-manifolds Title : Branched coverings of CP^2 and other basic 4-manifolds Author : Piergallini Riccardo, Zuddas Daniele Journal :
Branched coverings of CP^2 and other basic 4-manifolds NUMBER M17006 AUTHOR Piergallini Riccardo, Zuddas Daniele TITLE Branched coverings of CP^2 and other basic 4-manifolds ARCHIVE 1707.03667 FILE cover-submanifolds-1.0.pdf JOURNAL ABSTRACT We give necessary and sufficient conditions for a 4-manifold to be a branched covering of
CP^2, S^2-bundles over S^2 and S^3 x S^1, which are expressed in terms of the Betti
numbers and the intersection form of the 4-manifold.
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On codimension-1 submanifolds of the real and complex projective space Title : On codimension-1 submanifolds of the real and complex projective space Author : Cappelletti-Montano Beniamino, Loi Andrea, Zuddas Daniele Journal :
On codimension-1 submanifolds of the real and complex projective space NUMBER M17001 AUTHOR Cappelletti-Montano Beniamino, Loi Andrea, Zuddas Daniele TITLE On codimension-1 submanifolds of the real and complex projective space ARCHIVE 1705.07786 FILE embeddingprojspace.pdf JOURNAL ABSTRACT Inspired by the analogous result in the algebraic setting (Theorem 1) we
show (Theorem 2) that the product M times RP^n of a closed and orientable topological
manifold M with the n-dimensional real projective space cannot be topologically locally
flat embedded into RP^{m + n + 1} for all even n > m.
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Non-Kahler complex structures on R^4 II Title : Non-Kahler complex structures on R^4 II Author : Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele Journal :
Non-Kahler complex structures on R^4 II NUMBER M16005 AUTHOR Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele TITLE Non-Kahler complex structures on R^4 II ARCHIVE 1511.08471 FILE Non-Kahler-II.pdf JOURNAL ABSTRACT We follow our study of non-Kahler complex structures on R^4 that we defined in a
previous paper. We prove that these complex surfaces do not admit any smooth complex
compactification. Moreover, we give an explicit description of their meromorphic
functions. We also prove that the Picard groups of these complex surfaces are
uncountable, and give an explicit description of the canonical bundle. Finally, we show
that any connected non-compact oriented 4-manifold admits complex structures without
Kahler metrics.
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On branched covering representation of 4-manifolds Title : On branched covering representation of 4-manifolds Author : Piergallini Riccardo, Zuddas Daniele Journal :
On branched covering representation of 4-manifolds NUMBER M16003 AUTHOR Piergallini Riccardo, Zuddas Daniele TITLE On branched covering representation of 4-manifolds ARCHIVE 1602.07459 FILE BC4-manifolds.pdf JOURNAL ABSTRACT We provide new branched covering representations for bounded and/or non-compact 4-
manifolds, which extend the known ones for closed 4-manifolds.
Assuming M to be a connected oriented PL 4-manifold, our main results are the following:
(1) if M is compact with (possibly empty) boundary, then it is a simple branched cover of
S^4 minus some 4-balls; (2) if M is open, then it is a simple branched cover of S^4 minus
the end space of M, which is tamely embedded in S^4.
We also define the notion of branched covering between topological manifolds, which
extends the usual one in the PL category. In this setting, as an interesting consequence of
the above results, we prove that any closed oriented topological 4-manifold is a 4-fold
branched covering of S^4. According to almost-smoothability of 4-manifolds, this
branched cover could be wild at a single point.
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Non-Kahler complex structures on R^4 Title : Non-Kahler complex structures on R^4 Author : Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele Journal : Geometry & Topology
Non-Kahler complex structures on R^4 NUMBER M15001 AUTHOR Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele TITLE Non-Kahler complex structures on R^4 ARCHIVE 1501.06097 FILE non-kahler-r4.pdf JOURNAL Geometry & Topology ABSTRACT We construct the first examples of non-Kahler complex structures on R^4. These
complex surfaces have some analogies with the complex structures constructed in early
Fifties by Calabi and Eckmann on the products of two odd-dimensional spheres. However,
our construction is quite different from that of Calabi and Eckmann.
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On embeddings of almost complex manifolds in almost complex Euclidean spaces Title : On embeddings of almost complex manifolds in almost complex Euclidean spaces Author : Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele Journal : Journal of Geometry and Physics 101 (2016) 19-26
On embeddings of almost complex manifolds in almost complex Euclidean spaces NUMBER M14015 AUTHOR Di Scala Antonio J., Kasuya Naohiko, Zuddas Daniele TITLE On embeddings of almost complex manifolds in almost complex Euclidean spaces ARCHIVE 1410.1321 FILE embeddings.pdf JOURNAL Journal of Geometry and Physics 101 (2016) 19-26 ABSTRACT We prove that any compact almost complex manifold (M, J) of real dimension 2m admits
a pseudo-holomorphic embedding in a Euclidean space of dimension 4m + 2, endowed
with a suitable non-standard almost complex structure. Moreover, we give a necessary and
sufficient condition, expressed in terms of the Segre class of (M, J), for the existence of an
embedding or an immersion in an almost complex Euclidean 4m-space. We also discuss
the pseudo-holomorphic embeddings of an almost complex 4-manifold in R^6.
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Universal Lefschetz fibrations and Lefschetz cobordisms Title : Universal Lefschetz fibrations and Lefschetz cobordisms Author : Zuddas, Daniele Journal : Geometry & Topology Monographs 19 (2015) 125-144
Universal Lefschetz fibrations and Lefschetz cobordisms NUMBER M14009 AUTHOR Zuddas, Daniele TITLE Universal Lefschetz fibrations and Lefschetz cobordisms ARCHIVE 1403.2203 FILE universalfib2.pdf JOURNAL Geometry & Topology Monographs 19 (2015) 125-144 ABSTRACT We construct universal Lefschetz fibrations, that are defined in analogy with the classical
universal bundles. We also introduce the cobordism groups of Lefschetz fibrations, and we
see how these groups are quotient of the singular bordism groups via the universal
Lefschetz fibrations.
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Lefschetz fibrations over the disc Title : Lefschetz fibrations over the disc Author : Apostolakis Nikos, Piergallini Riccardo, Zuddas Daniele Journal : Proceedings of the London Mathematical Society 107 (2013) 340-390
Lefschetz fibrations over the disc NUMBER M14007 AUTHOR Apostolakis Nikos, Piergallini Riccardo, Zuddas Daniele TITLE Lefschetz fibrations over the disc ARCHIVE 1104.4536 FILE JOURNAL Proceedings of the London Mathematical Society 107 (2013) 340-390 ABSTRACT We provide a complete set of moves relating any two Lefschetz fibrations over the disc
having as their total space the same four-dimensional 2-handlebody up to 2-equivalence.
As a consequence, we also obtain moves relating diffeomorphic three-dimensional open
books, providing a different approach to an analogous previous result by Harer.
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Universal Lefschetz fibrations over bounded surfaces Title : Universal Lefschetz fibrations over bounded surfaces Author : Zuddas Daniele Journal : Algebraic & Geometric Topology 12 (2012) 1811-1829
Universal Lefschetz fibrations over bounded surfaces NUMBER M14006 AUTHOR Zuddas Daniele TITLE Universal Lefschetz fibrations over bounded surfaces ARCHIVE 1106.3530 FILE Universal1.pdf JOURNAL Algebraic & Geometric Topology 12 (2012) 1811-1829 ABSTRACT In analogy with the vector bundle theory we define universal and strongly universal
Lefschetz fibrations over bounded surfaces. After giving a characterization of these
fibrations we construct very special strongly universal Lefschetz fibrations when the fiber
is the torus or an orientable surface with connected boundary and the base surface is the
disk. As a by-product we also get some immersion results for 4-dimensional 2-
handlebodies.
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Embedding almost-complex manifolds in almost-complex euclidean spaces Title : Embedding almost-complex manifolds in almost-complex euclidean spaces Author : Di Scala Antonio J, Zuddas Daniele Journal : Journal of Geometry and Physics
Embedding almost-complex manifolds in almost-complex euclidean spaces NUMBER M14005 AUTHOR Di Scala Antonio J, Zuddas Daniele TITLE Embedding almost-complex manifolds in almost-complex euclidean spaces ARCHIVE 1005.4619 FILE embedding1.pdf JOURNAL Journal of Geometry and Physics ABSTRACT We show that any compact almost-complex manifold (M, J) of complex dimension m can
be pseudo-holomorphically embedded in R^{6m} equipped with a suitable almost-
complex structure.
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Representing Dehn twists with branched coverings Title : Representing Dehn twists with branched coverings Author : Zuddas Daniele Journal : Int. Math. Res. Notices
Representing Dehn twists with branched coverings NUMBER M14004 AUTHOR Zuddas Daniele TITLE Representing Dehn twists with branched coverings ARCHIVE 0710.0102 FILE dehn.pdf JOURNAL Int. Math. Res. Notices ABSTRACT We show that any homologically nontrivial Dehn twist of a compact surface F with
boundary is the lifting of a half-twist in the braid group B_n, with respect to a suitable
branched covering p : F --> B^2. In particular, we allow the surface to have disconnected
boundary. As a consequence, any allowable Lefschetz fibration on B^2 is a branched
covering of B^2 x B^2.
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A universal ribbon surface in B^4 Title : A universal ribbon surface in B^4 Author : Piergallini Riccardo, Zuddas Daniele Journal : Proc. London Math. Soc.
A universal ribbon surface in B^4 NUMBER M14003 AUTHOR Piergallini Riccardo, Zuddas Daniele TITLE A universal ribbon surface in B^4 ARCHIVE math/0308222 FILE universal_surface.pdf JOURNAL Proc. London Math. Soc. ABSTRACT We construct an orientable ribbon surface F in B^4, which is universal in the following
sense: any compact orientable pl 4-manifold having a handle decomposition with 0-, 1-
and 2-handles can be represented as a cover of B^4 branched over F.
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Braiding non-orientable surfaces in S^4 Title : Braiding non-orientable surfaces in S^4 Author : Piergallini Riccardo, Zuddas Daniele Journal : Atti Sem. Mat. Fis. Univ. Modena
Braiding non-orientable surfaces in S^4 NUMBER M14002 AUTHOR Piergallini Riccardo, Zuddas Daniele TITLE Braiding non-orientable surfaces in S^4 ARCHIVE FILE braiding.pdf JOURNAL Atti Sem. Mat. Fis. Univ. Modena ABSTRACT Closed braided surfaces in S^4 are the two-dimensional analogous of closed braids in S^3.
They are useful in studying smooth closed orientable surfaces in S^4, since any such a
surface is isotopic to a braided one. We show that the non-orientable version of this result
does not hold, that is smooth closed non-orientable surfaces cannot be braided. In fact, any
reasonable definition of non-orientable braided surfaces leads to very strong restrictions in
terms of selfintersection and Euler characteristic.
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Some remarks on Bergmann metrics Title : Some remarks on Bergmann metrics Author : Loi Andrea, Zuddas Daniele Journal : Riv. Mat. Univ. Parma
Some remarks on Bergmann metrics NUMBER M14001 AUTHOR Loi Andrea, Zuddas Daniele TITLE Some remarks on Bergmann metrics ARCHIVE FILE bergmann.pdf JOURNAL Riv. Mat. Univ. Parma ABSTRACT In this paper we study the set of self-Bergmann metrics on the Riemann sphere endowed
with the Fubini-Study metric and we extend a theorem of Tian to the case of the punctured
plane endowed with a natural flat metric.
- 최우철
- Research Fellow
- Analysis and Numerics of PDEs
- Office : 1436
- Tel : 2541 | Fax : 3786
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- 하준수
- Research Fellow
- Number Theory
- Office : 1408
- Tel : 3733 | Fax : 3786
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- 함세헌
- Research Fellow
- Harmonic Analysis
- Office : 1525
- Tel : 3818 | Fax : 3786
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- 홍규식
- Research Fellow
- Algebraic Geometry
- Office : 1515
- Tel : 3861 | Fax : 3786
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- 황택규
- Research Fellow
- Symplectic geometry
- Office : 1513
- Tel : 2513 | Fax : 3786
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- 리, 치펭
- Project Research Fellow
- Algebraic Geometry
- Office : 1531
- Tel : 2531 | Fax : 3786
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- 이상욱
- Project Research Fellow
- Symplectic geometry
- Office : 8205
- Tel : | Fax :
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- 이재정
- Project Research Fellow
- Hyperbolic geometry
- Office : 8205
- Tel : | Fax : 9538000
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- 후, 용
- Project Research Fellow
- Algebraic Geometry
- Office : 1531
- Tel : 2531 | Fax : 3770
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